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556630256 = 24713735237
BaseRepresentation
bin100001001011011…
…000000011110000
31102210101202011102
4201023120003300
52114444132011
6131122303532
716536164510
oct4113300360
91383352142
10556630256
11266226606
121364b7ba8
138b422320
1453cd7840
1533d0273b
hex212d80f0

556630256 has 80 divisors (see below), whose sum is σ = 1345788864. Its totient is φ = 217147392.

The previous prime is 556630241. The next prime is 556630267. The reversal of 556630256 is 652036655.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103670 + ... + 108906.

Almost surely, 2556630256 is an apocalyptic number.

556630256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556630256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672894432).

556630256 is an abundant number, since it is smaller than the sum of its proper divisors (789158608).

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

556630256 is a wasteful number, since it uses less digits than its factorization.

556630256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338 (or 5332 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 38.

The square root of 556630256 is about 23593.0128639816. The cubic root of 556630256 is about 822.6004378415.

The spelling of 556630256 in words is "five hundred fifty-six million, six hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 73 91 104 112 146 182 208 292 364 511 584 728 949 1022 1168 1456 1898 2044 3796 4088 5237 6643 7592 8176 10474 13286 15184 20948 26572 36659 41896 53144 68081 73318 83792 106288 136162 146636 272324 293272 382301 476567 544648 586544 764602 953134 1089296 1529204 1906268 2676107 3058408 3812536 4969913 5352214 6116816 7625072 9939826 10704428 19879652 21408856 34789391 39759304 42817712 69578782 79518608 139157564 278315128 556630256