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556408832 = 213731313
BaseRepresentation
bin100001001010100…
…010000000000000
31102202222111102112
4201022202000000
52114420040312
6131113434452
716534253120
oct4112420000
91382874375
10556408832
11266095211
1213640ba28
138b3755c5
1453c7ac80
1533cabd22
hex212a2000

556408832 has 112 divisors (see below), whose sum is σ = 1316931072. Its totient is φ = 230031360.

The previous prime is 556408829. The next prime is 556408841. The reversal of 556408832 is 238804655.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 556408832.

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, 1777508 + ... + 1777820.

Almost surely, 2556408832 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 556408832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658465536).

556408832 is an abundant number, since it is smaller than the sum of its proper divisors (760522240).

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

556408832 is an equidigital number, since it uses as much as digits as its factorization.

556408832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The square root of 556408832 is about 23588.3198214710. The cubic root of 556408832 is about 822.4913482890.

The spelling of 556408832 in words is "five hundred fifty-six million, four hundred eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 313 434 448 496 512 626 868 896 992 1024 1252 1736 1792 1984 2048 2191 2504 3472 3584 3968 4096 4382 5008 6944 7168 7936 8192 8764 9703 10016 13888 14336 15872 17528 19406 20032 27776 28672 31744 35056 38812 40064 55552 57344 63488 67921 70112 77624 80128 111104 126976 135842 140224 155248 160256 222208 253952 271684 280448 310496 320512 444416 543368 560896 620992 641024 888832 1086736 1121792 1241984 1282048 1777664 2173472 2243584 2483968 2564096 4346944 4487168 4967936 8693888 8974336 9935872 17387776 17948672 19871744 34775552 39743488 69551104 79486976 139102208 278204416 556408832