Search a number
-
+
57328641 = 341723179
BaseRepresentation
bin1101101010110…
…0010000000001
310222212121010000
43122230100001
5104134004031
65404430213
71264166616
oct332542001
9128777100
1057328641
112a3a6947
1217248369
13bb53096
14788450d
1550763e6
hex36ac401

57328641 has 60 divisors (see below), whose sum is σ = 95096320. Its totient is φ = 34369920.

The previous prime is 57328633. The next prime is 57328657. The reversal of 57328641 is 14682375.

57328641 is a `hidden beast` number, since 5 + 7 + 3 + 2 + 8 + 641 = 666.

It is not a de Polignac number, because 57328641 - 23 = 57328633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57328596 and 57328605.

It is not an unprimeable number, because it can be changed into a prime (57328631) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 725640 + ... + 725718.

Almost surely, 257328641 is an apocalyptic number.

57328641 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

57328641 is a deficient number, since it is larger than the sum of its proper divisors (37767679).

57328641 is a wasteful number, since it uses less digits than its factorization.

57328641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 57328641 is about 7571.5679353751. The cubic root of 57328641 is about 385.5883308316.

The spelling of 57328641 in words is "fifty-seven million, three hundred twenty-eight thousand, six hundred forty-one".

Divisors: 1 3 9 17 27 31 51 79 81 93 153 237 279 289 459 527 711 837 867 1343 1377 1581 2133 2449 2511 2601 4029 4743 6399 7347 7803 8959 12087 14229 22041 22831 23409 26877 36261 41633 42687 66123 68493 80631 108783 124899 198369 205479 241893 374697 616437 707761 725679 1124091 1849311 2123283 3372273 6369849 19109547 57328641