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57425664 = 283233251
BaseRepresentation
bin1101101100001…
…1111100000000
311000001112012110
43123003330000
5104200110124
65410455320
71265052522
oct333037400
9130045173
1057425664
112a46282a
1217294540
13bb882aa
1478aba12
155095029
hex36c3f00

57425664 has 72 divisors (see below), whose sum is σ = 159530112. Its totient is φ = 18304000.

The previous prime is 57425651. The next prime is 57425699. The reversal of 57425664 is 46652475.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16039 + ... + 19289.

It is an arithmetic number, because the mean of its divisors is an integer number (2215696).

Almost surely, 257425664 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 57425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79765056).

57425664 is an abundant number, since it is smaller than the sum of its proper divisors (102104448).

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

57425664 is a wasteful number, since it uses less digits than its factorization.

57425664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3293 (or 3279 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 57425664 is about 7577.9722881520. The cubic root of 57425664 is about 385.8057314830.

The spelling of 57425664 in words is "fifty-seven million, four hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 768 1104 1472 2208 2944 3251 4416 5888 6502 8832 9753 13004 17664 19506 26008 39012 52016 74773 78024 104032 149546 156048 208064 224319 299092 312096 416128 448638 598184 624192 832256 897276 1196368 1248384 1794552 2392736 2496768 3589104 4785472 7178208 9570944 14356416 19141888 28712832 57425664