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57086976 = 210318583
BaseRepresentation
bin1101100111000…
…1010000000000
310222102022121110
43121301100000
5104103240401
65355323320
71262142222
oct331612000
9128368543
1057086976
112a251321
1217150540
13ba9a09b
147820412
1550299d6
hex3671400

57086976 has 44 divisors (see below), whose sum is σ = 152165792. Its totient is φ = 19027968.

The previous prime is 57086971. The next prime is 57086987. The reversal of 57086976 is 67968075.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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 (57086971) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6220 + ... + 12363.

Almost surely, 257086976 is an apocalyptic number.

It is an amenable number.

57086976 is an abundant number, since it is smaller than the sum of its proper divisors (95078816).

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

57086976 is a wasteful number, since it uses less digits than its factorization.

57086976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18606 (or 18588 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 57086976 is about 7555.5923659234. The cubic root of 57086976 is about 385.0457605696.

The spelling of 57086976 in words is "fifty-seven million, eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 18583 37166 55749 74332 111498 148664 222996 297328 445992 594656 891984 1189312 1783968 2378624 3567936 4757248 7135872 9514496 14271744 19028992 28543488 57086976