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57293825 = 52171131193
BaseRepresentation
bin1101101010001…
…1110000000001
310222210211100112
43122203300001
5104131400300
65404001105
71263663251
oct332436001
9128724315
1057293825
112a382776
1217230195
13bb40294
147875961
15506ae35
hex36a3c01

57293825 has 24 divisors (see below), whose sum is σ = 75952728. Its totient is φ = 42721280.

The previous prime is 57293813. The next prime is 57293827. The reversal of 57293825 is 52839275.

It can be written as a sum of positive squares in 12 ways, for example, as 24127744 + 33166081 = 4912^2 + 5759^2 .

It is not a de Polignac number, because 57293825 - 220 = 56245249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57293827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47429 + ... + 48621.

It is an arithmetic number, because the mean of its divisors is an integer number (3164697).

Almost surely, 257293825 is an apocalyptic number.

It is an amenable number.

57293825 is a deficient number, since it is larger than the sum of its proper divisors (18658903).

57293825 is a wasteful number, since it uses less digits than its factorization.

57293825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1328 counting only the distinct ones).

The product of its digits is 151200, while the sum is 41.

The square root of 57293825 is about 7569.2684587085. The cubic root of 57293825 is about 385.5102583846.

The spelling of 57293825 in words is "fifty-seven million, two hundred ninety-three thousand, eight hundred twenty-five".

Divisors: 1 5 17 25 85 113 425 565 1193 1921 2825 5965 9605 20281 29825 48025 101405 134809 507025 674045 2291753 3370225 11458765 57293825