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5760305656 = 237234472287
BaseRepresentation
bin1010101110101011…
…10100100111111000
3112212110000211211221
411113111310213320
543244114240111
62351331201424
7262513535020
oct52725644770
915773024757
105760305656
1124965a6996
121149146274
1370a5240b1
143c9056a80
1523aa8c371
hex1575749f8

5760305656 has 32 divisors (see below), whose sum is σ = 12880189440. Its totient is φ = 2361367008.

The previous prime is 5760305651. The next prime is 5760305713. The reversal of 5760305656 is 6565030675.

It is a super-2 number, since 2×57603056562 = 66362242501091180672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5760305651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2234856 + ... + 2237431.

It is an arithmetic number, because the mean of its divisors is an integer number (402505920).

Almost surely, 25760305656 is an apocalyptic number.

5760305656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5760305656 is an abundant number, since it is smaller than the sum of its proper divisors (7119883784).

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

5760305656 is a wasteful number, since it uses less digits than its factorization.

5760305656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4472323 (or 4472319 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 43.

The square root of 5760305656 is about 75896.6775030370. The cubic root of 5760305656 is about 1792.5936056604.

The spelling of 5760305656 in words is "five billion, seven hundred sixty million, three hundred five thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1288 4472287 8944574 17889148 31306009 35778296 62612018 102862601 125224036 205725202 250448072 411450404 720038207 822900808 1440076414 2880152828 5760305656