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5790807264 = 253115483719
BaseRepresentation
bin1010110010010100…
…01011010011100000
3112221120102111012010
411121022023103200
543324421313024
62354341032520
7263334023004
oct53112132340
915846374163
105790807264
11250183a230
1211573b5740
13713943498
143cd116704
1523d5b4b29
hex15928b4e0

5790807264 has 48 divisors (see below), whose sum is σ = 16582769280. Its totient is φ = 1754789760.

The previous prime is 5790807263. The next prime is 5790807293. The reversal of 5790807264 is 4627080975.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5790807263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2740804 + ... + 2742915.

It is an arithmetic number, because the mean of its divisors is an integer number (345474360).

Almost surely, 25790807264 is an apocalyptic number.

It is an amenable number.

5790807264 is an abundant number, since it is smaller than the sum of its proper divisors (10791962016).

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

5790807264 is a wasteful number, since it uses less digits than its factorization.

5790807264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5483743 (or 5483735 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 5790807264 is about 76097.3538567538. The cubic root of 5790807264 is about 1795.7520470258.

The spelling of 5790807264 in words is "five billion, seven hundred ninety million, eight hundred seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 5483719 10967438 16451157 21934876 32902314 43869752 60320909 65804628 87739504 120641818 131609256 175479008 180962727 241283636 263218512 361925454 482567272 526437024 723850908 965134544 1447701816 1930269088 2895403632 5790807264