Search a number
-
+
56817904 = 241113191307
BaseRepresentation
bin1101100010111…
…1100011110000
310221220122111211
43120233203300
5104021133104
65345445504
71256641603
oct330574360
9127818454
1056817904
112a088150
1217040894
13ba04780
14779033a
154ec4e04
hex362f8f0

56817904 has 80 divisors (see below), whose sum is σ = 136241280. Its totient is φ = 22567680.

The previous prime is 56817881. The next prime is 56817907. The reversal of 56817904 is 40971865.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56817907) 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, 42819 + ... + 44125.

It is an arithmetic number, because the mean of its divisors is an integer number (1703016).

Almost surely, 256817904 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 56817904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68120640).

56817904 is an abundant number, since it is smaller than the sum of its proper divisors (79423376).

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

56817904 is a wasteful number, since it uses less digits than its factorization.

56817904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 56817904 is about 7537.7651860482. The cubic root of 56817904 is about 384.4398533266.

The spelling of 56817904 in words is "fifty-six million, eight hundred seventeen thousand, nine hundred four".

Divisors: 1 2 4 8 11 13 16 19 22 26 38 44 52 76 88 104 143 152 176 208 209 247 286 304 418 494 572 836 988 1144 1307 1672 1976 2288 2614 2717 3344 3952 5228 5434 10456 10868 14377 16991 20912 21736 24833 28754 33982 43472 49666 57508 67964 99332 115016 135928 186901 198664 230032 271856 273163 322829 373802 397328 546326 645658 747604 1092652 1291316 1495208 2185304 2582632 2990416 3551119 4370608 5165264 7102238 14204476 28408952 56817904