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57461985 = 3257199601
BaseRepresentation
bin1101101100110…
…0110011100001
311000010101000200
43123030303201
5104202240420
65411335413
71265263440
oct333146341
9130111020
1057461985
112a488049
12172b1569
13bb9b999
1478bad57
1550a0b90
hex36ccce1

57461985 has 48 divisors (see below), whose sum is σ = 119832960. Its totient is φ = 24883200.

The previous prime is 57461977. The next prime is 57462037. The reversal of 57461985 is 58916475.

It is not a de Polignac number, because 57461985 - 23 = 57461977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 57461985.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1185 + ... + 10785.

It is an arithmetic number, because the mean of its divisors is an integer number (2496520).

Almost surely, 257461985 is an apocalyptic number.

It is an amenable number.

57461985 is an abundant number, since it is smaller than the sum of its proper divisors (62370975).

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

57461985 is a wasteful number, since it uses less digits than its factorization.

57461985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9638 (or 9635 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 57461985 is about 7580.3683947418. The cubic root of 57461985 is about 385.8870534084.

The spelling of 57461985 in words is "fifty-seven million, four hundred sixty-one thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 9601 28803 48005 67207 86409 144015 182419 201621 336035 432045 547257 604863 912095 1008105 1276933 1641771 2736285 3024315 3830799 6384665 8208855 11492397 19153995 57461985