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5757438080 = 2758995997
BaseRepresentation
bin1010101110010101…
…11000100010000000
3112212020122011021102
411113022320202000
543242401004310
62351145513532
7262450262522
oct52712704200
915766564242
105757438080
112494a18499
1211481a28a8
13709a5bac4
143c890ba12
1523a6c28a5
hex1572b8880

5757438080 has 32 divisors (see below), whose sum is σ = 13763876940. Its totient is φ = 2302974976.

The previous prime is 5757438073. The next prime is 5757438151. The reversal of 5757438080 is 808347575.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5548462144 + 208975936 = 74488^2 + 14456^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4497359 + ... + 4498638.

Almost surely, 25757438080 is an apocalyptic number.

It is an amenable number.

5757438080 is an abundant number, since it is smaller than the sum of its proper divisors (8006438860).

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

5757438080 is an equidigital number, since it uses as much as digits as its factorization.

5757438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8996016 (or 8996004 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 47.

The square root of 5757438080 is about 75877.7838369045. The cubic root of 5757438080 is about 1792.2960953119.

The spelling of 5757438080 in words is "five billion, seven hundred fifty-seven million, four hundred thirty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 8995997 17991994 35983988 44979985 71967976 89959970 143935952 179919940 287871904 359839880 575743808 719679760 1151487616 1439359520 2878719040 5757438080