Search a number
-
+
57403872 = 2532375387
BaseRepresentation
bin1101101011111…
…0100111100000
311000000102022100
43122332213200
5104143410442
65410210400
71264632141
oct332764740
9130012270
1057403872
112a448419
1217283a00
13bb7b3b6
1478a3ac8
15508d84c
hex36be9e0

57403872 has 72 divisors (see below), whose sum is σ = 167685336. Its totient is φ = 18614016.

The previous prime is 57403861. The next prime is 57403877. The reversal of 57403872 is 27830475.

57403872 is a `hidden beast` number, since 574 + 0 + 3 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57403877) 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, 7963 + ... + 13349.

It is an arithmetic number, because the mean of its divisors is an integer number (2328963).

Almost surely, 257403872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57403872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83842668).

57403872 is an abundant number, since it is smaller than the sum of its proper divisors (110281464).

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

57403872 is a wasteful number, since it uses less digits than its factorization.

57403872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5440 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 57403872 is about 7576.5343000609. The cubic root of 57403872 is about 385.7569232114.

The spelling of 57403872 in words is "fifty-seven million, four hundred three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 5387 10656 10774 16161 21548 32322 43096 48483 64644 86192 96966 129288 172384 193932 199319 258576 387864 398638 517152 597957 775728 797276 1195914 1551456 1594552 1793871 2391828 3189104 3587742 4783656 6378208 7175484 9567312 14350968 19134624 28701936 57403872