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4427457760 = 255112713221
BaseRepresentation
bin1000001111110010…
…11010010011100000
3102102120001011021001
410013321122103200
533031412122020
62011155441344
7214500525055
oct40771322340
912376034231
104427457760
111972203600
12a368b6254
13557357abb
1430002502c
151ada5e50a
hex107e5a4e0

4427457760 has 144 divisors (see below), whose sum is σ = 11662763616. Its totient is φ = 1586816000.

The previous prime is 4427457757. The next prime is 4427457761. The reversal of 4427457760 is 677547244.

It is a self number, because there is not a number n which added to its sum of digits gives 4427457760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4427457761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1372950 + ... + 1376170.

It is an arithmetic number, because the mean of its divisors is an integer number (80991414).

Almost surely, 24427457760 is an apocalyptic number.

4427457760 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 4427457760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5831381808).

4427457760 is an abundant number, since it is smaller than the sum of its proper divisors (7235305856).

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

4427457760 is a wasteful number, since it uses less digits than its factorization.

4427457760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 46.

The square root of 4427457760 is about 66539.1445691933. The cubic root of 4427457760 is about 1642.0440703202.

The spelling of 4427457760 in words is "four billion, four hundred twenty-seven million, four hundred fifty-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 71 80 88 110 121 142 160 176 220 242 284 352 355 440 484 568 605 710 781 880 968 1136 1210 1420 1562 1760 1936 2272 2420 2840 3124 3221 3872 3905 4840 5680 6248 6442 7810 8591 9680 11360 12496 12884 15620 16105 17182 19360 24992 25768 31240 32210 34364 35431 42955 51536 62480 64420 68728 70862 85910 103072 124960 128840 137456 141724 171820 177155 228691 257680 274912 283448 343640 354310 389741 457382 515360 566896 687280 708620 779482 914764 1133792 1143455 1374560 1417240 1558964 1829528 1948705 2286910 2515601 2834480 3117928 3659056 3897410 4573820 5031202 5668960 6235856 7318112 7794820 9147640 10062404 12471712 12578005 15589640 18295280 20124808 25156010 27671611 31179280 36590560 40249616 50312020 55343222 62358560 80499232 100624040 110686444 138358055 201248080 221372888 276716110 402496160 442745776 553432220 885491552 1106864440 2213728880 4427457760