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57129436 = 22713212073
BaseRepresentation
bin1101100111101…
…1100111011100
310222111110212001
43121323213130
5104111120221
65400252044
71262410060
oct331734734
9128443761
1057129436
112a280211
1217171024
13bab3500
147831aa0
155037391
hex367b9dc

57129436 has 36 divisors (see below), whose sum is σ = 123734352. Its totient is φ = 22598784.

The previous prime is 57129427. The next prime is 57129439. The reversal of 57129436 is 63492175.

It is a junction number, because it is equal to n+sod(n) for n = 57129395 and 57129404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57129439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1305 + ... + 10768.

Almost surely, 257129436 is an apocalyptic number.

It is an amenable number.

57129436 is an abundant number, since it is smaller than the sum of its proper divisors (66604916).

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

57129436 is a wasteful number, since it uses less digits than its factorization.

57129436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12110 (or 12095 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The square root of 57129436 is about 7558.4016828957. The cubic root of 57129436 is about 385.1411996841.

The spelling of 57129436 in words is "fifty-seven million, one hundred twenty-nine thousand, four hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 1183 2366 4732 12073 24146 48292 84511 156949 169022 313898 338044 627796 1098643 2040337 2197286 4080674 4394572 8161348 14282359 28564718 57129436