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57149141 = 726731733
BaseRepresentation
bin1101101000000…
…0011011010101
310222112110212212
43122000123111
5104112233031
65400523205
71262521400
oct332003325
9128473785
1057149141
112a293aa5
1217180505
13babc47a
147838d37
15503d12b
hex36806d5

57149141 has 12 divisors (see below), whose sum is σ = 66616812. Its totient is φ = 48883968.

The previous prime is 57149137. The next prime is 57149149. The reversal of 57149141 is 14194175.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21996100 + 35153041 = 4690^2 + 5929^2 .

It is not a de Polignac number, because 57149141 - 22 = 57149137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57149098 and 57149107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57149149) 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, 32111 + ... + 33843.

It is an arithmetic number, because the mean of its divisors is an integer number (5551401).

Almost surely, 257149141 is an apocalyptic number.

It is an amenable number.

57149141 is a deficient number, since it is larger than the sum of its proper divisors (9467671).

57149141 is a wasteful number, since it uses less digits than its factorization.

57149141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2413 counting only the distinct ones).

The product of its digits is 5040, while the sum is 32.

The square root of 57149141 is about 7559.7050868404. The cubic root of 57149141 is about 385.1854753704.

The spelling of 57149141 in words is "fifty-seven million, one hundred forty-nine thousand, one hundred forty-one".

Divisors: 1 7 49 673 1733 4711 12131 32977 84917 1166309 8164163 57149141