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57504042 = 23229110161
BaseRepresentation
bin1101101101011…
…1000100101010
311000012111201100
43123113010222
5104210112132
65412302230
71265530161
oct333270452
9130174640
1057504042
112a506702
1217311976
13bbb4b7b
1478cc3d8
1550ad37c
hex36d712a

57504042 has 24 divisors (see below), whose sum is σ = 128889540. Its totient is φ = 18506880.

The previous prime is 57504019. The next prime is 57504043. The reversal of 57504042 is 24040575.

It can be written as a sum of positive squares in 2 ways, for example, as 51108201 + 6395841 = 7149^2 + 2529^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57503997 and 57504015.

It is not an unprimeable number, because it can be changed into a prime (57504043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54559 + ... + 55602.

Almost surely, 257504042 is an apocalyptic number.

57504042 is an abundant number, since it is smaller than the sum of its proper divisors (71385498).

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

57504042 is a wasteful number, since it uses less digits than its factorization.

57504042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110198 (or 110195 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 57504042 is about 7583.1419609552. The cubic root of 57504042 is about 385.9811753104.

The spelling of 57504042 in words is "fifty-seven million, five hundred four thousand, forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 110161 220322 330483 660966 991449 1982898 3194669 6389338 9584007 19168014 28752021 57504042