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57534984 = 23321361469
BaseRepresentation
bin1101101101111…
…0101000001000
311000021002011100
43123132220020
5104212104414
65413101400
71266016323
oct333365010
9130232140
1057534984
112a527981
1217327860
13bbc5c90
1478d97ba
1550b7609
hex36dea08

57534984 has 48 divisors (see below), whose sum is σ = 167813100. Its totient is φ = 17702784.

The previous prime is 57534949. The next prime is 57534991. The reversal of 57534984 is 48943575.

57534984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 57426084 + 108900 = 7578^2 + 330^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29799 + ... + 31670.

Almost surely, 257534984 is an apocalyptic number.

It is an amenable number.

57534984 is an abundant number, since it is smaller than the sum of its proper divisors (110278116).

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

57534984 is a wasteful number, since it uses less digits than its factorization.

57534984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61494 (or 61487 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 57534984 is about 7585.1818699356. The cubic root of 57534984 is about 386.0503929841.

The spelling of 57534984 in words is "fifty-seven million, five hundred thirty-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 61469 122938 184407 245876 368814 491752 553221 737628 799097 1106442 1475256 1598194 2212884 2397291 3196388 4425768 4794582 6392776 7191873 9589164 14383746 19178328 28767492 57534984