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57149541 = 3223327253
BaseRepresentation
bin1101101000000…
…0100001100101
310222112111102200
43122000201211
5104112241131
65400525113
71262522511
oct332004145
9128474380
1057149541
112a294329
1217180799
13babc6c7
147839141
15503d2e6
hex3680865

57149541 has 12 divisors (see below), whose sum is σ = 82906668. Its totient is φ = 37934784.

The previous prime is 57149539. The next prime is 57149551. The reversal of 57149541 is 14594175.

57149541 is a `hidden beast` number, since 5 + 71 + 49 + 541 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20061441 + 37088100 = 4479^2 + 6090^2 .

It is not a de Polignac number, because 57149541 - 21 = 57149539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57149496 and 57149505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57149501) 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, 11530 + ... + 15723.

It is an arithmetic number, because the mean of its divisors is an integer number (6908889).

Almost surely, 257149541 is an apocalyptic number.

It is an amenable number.

57149541 is a deficient number, since it is larger than the sum of its proper divisors (25757127).

57149541 is a wasteful number, since it uses less digits than its factorization.

57149541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27492 (or 27489 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 57149541 is about 7559.7315428526. The cubic root of 57149541 is about 385.1863740356.

It can be divided in two parts, 571495 and 41, that added together give a square (571536 = 7562).

The spelling of 57149541 in words is "fifty-seven million, one hundred forty-nine thousand, five hundred forty-one".

Divisors: 1 3 9 233 699 2097 27253 81759 245277 6349949 19049847 57149541