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57994880 = 27590617
BaseRepresentation
bin1101110100111…
…0111010000000
311001010110000112
43131032322000
5104321314010
65431010452
71302643166
oct335167200
9131113015
1057994880
112a811459
1217509a28
13c0273c8
1479b9236
155158a05
hex374ee80

57994880 has 32 divisors (see below), whose sum is σ = 138645540. Its totient is φ = 23197696.

The previous prime is 57994829. The next prime is 57994901. The reversal of 57994880 is 8849975.

57994880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 52649536 + 5345344 = 7256^2 + 2312^2 .

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

It is a super-2 number, since 2×579948802 = 6726812212428800, which contains 22 as substring.

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, 44669 + ... + 45948.

Almost surely, 257994880 is an apocalyptic number.

It is an amenable number.

57994880 is an abundant number, since it is smaller than the sum of its proper divisors (80650660).

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

57994880 is an equidigital number, since it uses as much as digits as its factorization.

57994880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90636 (or 90624 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 50.

The square root of 57994880 is about 7615.4369539771. The cubic root of 57994880 is about 387.0762735619.

It can be divided in two parts, 579 and 94880, that added together give a palindrome (95459).

The spelling of 57994880 in words is "fifty-seven million, nine hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 90617 181234 362468 453085 724936 906170 1449872 1812340 2899744 3624680 5799488 7249360 11598976 14498720 28997440 57994880