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4807421840 = 2451317377349
BaseRepresentation
bin1000111101000101…
…10110111110010000
3110102001000022222202
410132202312332100
534321144444330
62113011422332
7230063261054
oct43642667620
913361008882
104807421840
112047734201
12b21bb49a8
135b7ca2810
14338691c64
151d20b6445
hex11e8b6f90

4807421840 has 160 divisors (see below), whose sum is σ = 13091349600. Its totient is φ = 1625260032.

The previous prime is 4807421809. The next prime is 4807421849. The reversal of 4807421840 is 481247084.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 165997456 + 4641424384 = 12884^2 + 68128^2 .

It is a super-3 number, since 3×48074218403 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4807421794 and 4807421803.

It is not an unprimeable number, because it can be changed into a prime (4807421849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650486 + ... + 657834.

It is an arithmetic number, because the mean of its divisors is an integer number (81820935).

Almost surely, 24807421840 is an apocalyptic number.

4807421840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4807421840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6545674800).

4807421840 is an abundant number, since it is smaller than the sum of its proper divisors (8283927760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4807421840 is a wasteful number, since it uses less digits than its factorization.

4807421840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7429 (or 7423 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 38.

The square root of 4807421840 is about 69335.5741304563. The cubic root of 4807421840 is about 1687.7343026471.

The spelling of 4807421840 in words is "four billion, eight hundred seven million, four hundred twenty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 37 40 52 65 68 74 80 85 104 130 136 148 170 185 208 221 260 272 296 340 370 442 481 520 592 629 680 740 884 962 1040 1105 1258 1360 1480 1768 1924 2210 2405 2516 2960 3145 3536 3848 4420 4810 5032 6290 7349 7696 8177 8840 9620 10064 12580 14698 16354 17680 19240 25160 29396 32708 36745 38480 40885 50320 58792 65416 73490 81770 95537 117584 124933 130832 146980 163540 191074 249866 271913 293960 327080 382148 477685 499732 543826 587920 624665 654160 764296 955370 999464 1087652 1249330 1359565 1528592 1624129 1910740 1998928 2175304 2498660 2719130 3248258 3534869 3821480 4350608 4622521 4997320 5438260 6496516 7069738 7642960 8120645 9245042 9994640 10876520 12993032 14139476 16241290 17674345 18490084 21753040 23112605 25986064 28278952 32482580 35348690 36980168 46225210 56557904 60092773 64965160 70697380 73960336 92450420 120185546 129930320 141394760 184900840 240371092 282789520 300463865 369801680 480742184 600927730 961484368 1201855460 2403710920 4807421840