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57256064 = 27617333
BaseRepresentation
bin1101101001101…
…0100010000000
310222201220112222
43122122202000
5104124143224
65403110212
71263445205
oct332324200
9128656488
1057256064
112a357368
1217212368
13bb29038
147865cac
15505eb5e
hex369a880

57256064 has 32 divisors (see below), whose sum is σ = 115950540. Its totient is φ = 28154880.

The previous prime is 57256027. The next prime is 57256097. The reversal of 57256064 is 46065275.

It can be written as a sum of positive squares in 2 ways, for example, as 36096064 + 21160000 = 6008^2 + 4600^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4142 + ... + 11474.

Almost surely, 257256064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57256064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57975270).

57256064 is an abundant number, since it is smaller than the sum of its proper divisors (58694476).

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

57256064 is an equidigital number, since it uses as much as digits as its factorization.

57256064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7408 (or 7396 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 57256064 is about 7566.7736849994. The cubic root of 57256064 is about 385.4255462180.

The spelling of 57256064 in words is "fifty-seven million, two hundred fifty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3904 7333 7808 14666 29332 58664 117328 234656 447313 469312 894626 938624 1789252 3578504 7157008 14314016 28628032 57256064