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5757060288 = 263737115771
BaseRepresentation
bin1010101110010010…
…11100010011000000
3112212012220222001010
411113021130103000
543242301412123
62351133440520
7262444130220
oct52711342300
915765828033
105757060288
11249478a671
121148040140
13709958b65
143c8850080
1523a64a993
hex15725c4c0

5757060288 has 112 divisors (see below), whose sum is σ = 17878901504. Its totient is φ = 1600404480.

The previous prime is 5757060209. The next prime is 5757060293. The reversal of 5757060288 is 8820607575.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8158 + ... + 107613.

Almost surely, 25757060288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5757060288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8939450752).

5757060288 is an abundant number, since it is smaller than the sum of its proper divisors (12121841216).

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

5757060288 is a wasteful number, since it uses less digits than its factorization.

5757060288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115830 (or 115820 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The square root of 5757060288 is about 75875.2943190338. The cubic root of 5757060288 is about 1792.2568921149.

The spelling of 5757060288 in words is "five billion, seven hundred fifty-seven million, sixty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 148 168 192 222 224 259 296 336 444 448 518 592 672 777 888 1036 1184 1344 1554 1776 2072 2368 3108 3552 4144 6216 7104 8288 12432 16576 24864 49728 115771 231542 347313 463084 694626 810397 926168 1389252 1620794 1852336 2431191 2778504 3241588 3704672 4283527 4862382 5557008 6483176 7409344 8567054 9724764 11114016 12850581 12966352 17134108 19449528 22228032 25701162 25932704 29984689 34268216 38899056 51402324 51865408 59969378 68536432 77798112 89954067 102804648 119938756 137072864 155596224 179908134 205609296 239877512 274145728 359816268 411218592 479755024 719632536 822437184 959510048 1439265072 1919020096 2878530144 5757060288