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57338532 = 22321592737
BaseRepresentation
bin1101101010111…
…0101010100100
310222220002200100
43122232222210
5104134313112
65404544100
71264240506
oct332565244
9128802610
1057338532
112a403319
1217252030
13bb57734
147887d76
1550792dc
hex36aeaa4

57338532 has 18 divisors (see below), whose sum is σ = 144939158. Its totient is φ = 19112832.

The previous prime is 57338513. The next prime is 57338537. The reversal of 57338532 is 23583375.

57338532 is a `hidden beast` number, since 573 + 3 + 85 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45887076 + 11451456 = 6774^2 + 3384^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1592737 = 57338532 / (5 + 7 + 3 + 3 + 8 + 5 + 3 + 2).

It is not an unprimeable number, because it can be changed into a prime (57338537) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 796333 + ... + 796404.

Almost surely, 257338532 is an apocalyptic number.

It is an amenable number.

57338532 is an abundant number, since it is smaller than the sum of its proper divisors (87600626).

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

57338532 is a wasteful number, since it uses less digits than its factorization.

57338532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592747 (or 1592742 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 57338532 is about 7572.2210744272. The cubic root of 57338532 is about 385.6105049421.

The spelling of 57338532 in words is "fifty-seven million, three hundred thirty-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1592737 3185474 4778211 6370948 9556422 14334633 19112844 28669266 57338532