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556201856 = 2771514111
BaseRepresentation
bin100001001001101…
…111011110000000
31102202120222111202
4201021233132000
52114341424411
6131105200332
716532431520
oct4111573600
91382528452
10556201856
11265a63761
121363300a8
138b302332
1453c25680
1533c6a83b
hex2126f780

556201856 has 64 divisors (see below), whose sum is σ = 1275048960. Its totient is φ = 236736000.

The previous prime is 556201787. The next prime is 556201879. The reversal of 556201856 is 658102655.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133241 + ... + 137351.

It is an arithmetic number, because the mean of its divisors is an integer number (19922640).

Almost surely, 2556201856 is an apocalyptic number.

556201856 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 556201856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637524480).

556201856 is an abundant number, since it is smaller than the sum of its proper divisors (718847104).

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

556201856 is a wasteful number, since it uses less digits than its factorization.

556201856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 38.

The square root of 556201856 is about 23583.9321572973. The cubic root of 556201856 is about 822.3893506976.

The spelling of 556201856 in words is "five hundred fifty-six million, two hundred one thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 151 224 302 448 604 896 1057 1208 2114 2416 4111 4228 4832 8222 8456 9664 16444 16912 19328 28777 32888 33824 57554 65776 67648 115108 131552 135296 230216 263104 460432 526208 620761 920864 1241522 1841728 2483044 3683456 4345327 4966088 8690654 9932176 17381308 19864352 34762616 39728704 69525232 79457408 139050464 278100928 556201856