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4884909040 = 2451119129063
BaseRepresentation
bin1001000110010100…
…11100101111110000
3110121102211002110001
410203022130233300
540001014042130
62124420315344
7232024020214
oct44312345760
913542732401
104884909040
112087449510
12b43b42b54
135cb06322b
14344aa2944
151d8cc06ca
hex12329cbf0

4884909040 has 80 divisors (see below), whose sum is σ = 12455202816. Its totient is φ = 1766969600.

The previous prime is 4884909017. The next prime is 4884909049. The reversal of 4884909040 is 409094884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4884909049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153549 + ... + 182611.

Almost surely, 24884909040 is an apocalyptic number.

4884909040 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 4884909040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227601408).

4884909040 is an abundant number, since it is smaller than the sum of its proper divisors (7570293776).

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

4884909040 is a wasteful number, since it uses less digits than its factorization.

4884909040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29278 (or 29272 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 4884909040 is about 69892.1243059617. The cubic root of 4884909040 is about 1696.7537867261.

The spelling of 4884909040 in words is "four billion, eight hundred eighty-four million, nine hundred nine thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 191 220 382 440 764 880 955 1528 1910 2101 3056 3820 4202 7640 8404 10505 15280 16808 21010 29063 33616 42020 58126 84040 116252 145315 168080 232504 290630 319693 465008 581260 639386 1162520 1278772 1598465 2325040 2557544 3196930 5115088 5551033 6393860 11102066 12787720 22204132 25575440 27755165 44408264 55510330 61061363 88816528 111020660 122122726 222041320 244245452 305306815 444082640 488490904 610613630 976981808 1221227260 2442454520 4884909040