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57525480 = 23325159793
BaseRepresentation
bin1101101101110…
…0010011101000
311000020121010100
43123130103220
5104211303410
65412545400
71265646525
oct333342350
9130217110
1057525480
112a520821
1217322260
13bbc185c
1478d614c
1550b48c0
hex36dc4e8

57525480 has 48 divisors (see below), whose sum is σ = 186958980. Its totient is φ = 15340032.

The previous prime is 57525439. The next prime is 57525493. The reversal of 57525480 is 8452575.

It is a happy number.

57525480 is a `hidden beast` number, since 57 + 525 + 4 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47527236 + 9998244 = 6894^2 + 3162^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79537 + ... + 80256.

Almost surely, 257525480 is an apocalyptic number.

It is an amenable number.

57525480 is an abundant number, since it is smaller than the sum of its proper divisors (129433500).

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

57525480 is a wasteful number, since it uses less digits than its factorization.

57525480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159810 (or 159803 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 57525480 is about 7584.5553594130. Note that the first 3 decimals coincide. The cubic root of 57525480 is about 386.0291350484.

The spelling of 57525480 in words is "fifty-seven million, five hundred twenty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 159793 319586 479379 639172 798965 958758 1278344 1438137 1597930 1917516 2396895 2876274 3195860 3835032 4793790 5752548 6391720 7190685 9587580 11505096 14381370 19175160 28762740 57525480