Search a number
-
+
57380631 = 3711248401
BaseRepresentation
bin1101101011100…
…0111100010111
310222222020102120
43122320330113
5104142140011
65405511023
71264504320
oct332707427
9128866376
1057380631
112a431a10
1217272473
13bb70949
147899447
155086a06
hex36b8f17

57380631 has 16 divisors (see below), whose sum is σ = 95386368. Its totient is φ = 29808000.

The previous prime is 57380611. The next prime is 57380633. The reversal of 57380631 is 13608375.

57380631 = 20182 + 20192 + ... + 20312.

It is a happy number.

It is not a de Polignac number, because 57380631 - 29 = 57380119 is a prime.

It is a super-2 number, since 2×573806312 = 6585073627916322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 57380592 and 57380601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57380633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123970 + ... + 124431.

It is an arithmetic number, because the mean of its divisors is an integer number (5961648).

Almost surely, 257380631 is an apocalyptic number.

57380631 is a deficient number, since it is larger than the sum of its proper divisors (38005737).

57380631 is a wasteful number, since it uses less digits than its factorization.

57380631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248422.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 57380631 is about 7575.0003960396. Note that the first 3 decimals coincide. The cubic root of 57380631 is about 385.7048559521.

The spelling of 57380631 in words is "fifty-seven million, three hundred eighty thousand, six hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 231 248401 745203 1738807 2732411 5216421 8197233 19126877 57380631