Search a number
-
+
57103632 = 2432541733
BaseRepresentation
bin1101100111010…
…1010100010000
310222110011110100
43121311110100
5104104304012
65355532400
71262241615
oct331652420
9128404410
1057103632
112a262893
121715a100
13baa4841
14782650c
15502e8dc
hex3675510

57103632 has 60 divisors (see below), whose sum is σ = 160324684. Its totient is φ = 18973440.

The previous prime is 57103619. The next prime is 57103661. The reversal of 57103632 is 23630175.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 43086096 + 14017536 = 6564^2 + 3744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57103596 and 57103605.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77538 + ... + 78270.

Almost surely, 257103632 is an apocalyptic number.

It is an amenable number.

57103632 is an abundant number, since it is smaller than the sum of its proper divisors (103221052).

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

57103632 is a wasteful number, since it uses less digits than its factorization.

57103632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 57103632 is about 7556.6945154611. The cubic root of 57103632 is about 385.0832045952.

The spelling of 57103632 in words is "fifty-seven million, one hundred three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 541 733 1082 1466 1623 2164 2199 2932 3246 4328 4398 4869 5864 6492 6597 8656 8796 9738 11728 12984 13194 17592 19476 25968 26388 35184 38952 52776 77904 105552 396553 793106 1189659 1586212 2379318 3172424 3568977 4758636 6344848 7137954 9517272 14275908 19034544 28551816 57103632