Search a number
-
+
5657472 = 27331637
BaseRepresentation
bin10101100101001110000000
3101122102121000
4111211032000
52422014342
6321132000
766042042
oct25451600
911572530
105657472
1132145a7
121a8a000
131231122
14a73a92
1576b44c
hex565380

5657472 has 64 divisors (see below), whose sum is σ = 16707600. Its totient is φ = 1884672.

The previous prime is 5657461. The next prime is 5657489. The reversal of 5657472 is 2747565.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2638 + ... + 4274.

Almost surely, 25657472 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 5657472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353800).

5657472 is an abundant number, since it is smaller than the sum of its proper divisors (11050128).

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

5657472 is a wasteful number, since it uses less digits than its factorization.

5657472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1642 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 5657472 is about 2378.5440925070. The cubic root of 5657472 is about 178.1862293659.

The spelling of 5657472 in words is "five million, six hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1637 1728 3274 3456 4911 6548 9822 13096 14733 19644 26192 29466 39288 44199 52384 58932 78576 88398 104768 117864 157152 176796 209536 235728 314304 353592 471456 628608 707184 942912 1414368 1885824 2828736 5657472