Search a number
-
+
57329496 = 23327113749
BaseRepresentation
bin1101101010110…
…0011101011000
310222212122021200
43122230131120
5104134020441
65404434200
71264202250
oct332543530
9128778250
1057329496
112a3a7554
1217248960
13bb535a3
147884960
1550767b6
hex36ac758

57329496 has 48 divisors (see below), whose sum is σ = 177450000. Its totient is φ = 16379712.

The previous prime is 57329443. The next prime is 57329497. The reversal of 57329496 is 69492375.

It is a happy number.

It is a super-2 number, since 2×573294962 = 6573342223228032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57329497) 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, 56371 + ... + 57378.

It is an arithmetic number, because the mean of its divisors is an integer number (3696875).

Almost surely, 257329496 is an apocalyptic number.

57329496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

57329496 is an abundant number, since it is smaller than the sum of its proper divisors (120120504).

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

57329496 is a wasteful number, since it uses less digits than its factorization.

57329496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113768 (or 113761 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 57329496 is about 7571.6243963895. The cubic root of 57329496 is about 385.5902477117.

The spelling of 57329496 in words is "fifty-seven million, three hundred twenty-nine thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 113749 227498 341247 454996 682494 796243 909992 1023741 1364988 1592486 2047482 2388729 2729976 3184972 4094964 4777458 6369944 7166187 8189928 9554916 14332374 19109832 28664748 57329496