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556041096 = 233213245697
BaseRepresentation
bin100001001001001…
…000001110001000
31102202021210222200
4201021020032020
52114321303341
6131101520200
716531162032
oct4111101610
91382253880
10556041096
112659639a6
12136273060
138b277100
1453bc2c52
1533c37db6
hex21248388

556041096 has 72 divisors (see below), whose sum is σ = 1630733130. Its totient is φ = 171085824.

The previous prime is 556041089. The next prime is 556041103. The reversal of 556041096 is 690140655.

556041096 is a `hidden beast` number, since 5 + 560 + 4 + 1 + 0 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (556041089) and next prime (556041103).

It can be written as a sum of positive squares in 3 ways, for example, as 238702500 + 317338596 = 15450^2 + 17814^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 556041096.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10681 + ... + 35016.

Almost surely, 2556041096 is an apocalyptic number.

It is an amenable number.

556041096 is an abundant number, since it is smaller than the sum of its proper divisors (1074692034).

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

556041096 is a wasteful number, since it uses less digits than its factorization.

556041096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45735 (or 45715 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 556041096 is about 23580.5236583075. The cubic root of 556041096 is about 822.3101108497.

It can be divided in two parts, 5560 and 41096, that added together give a 6-th power (46656 = 66).

The spelling of 556041096 in words is "five hundred fifty-six million, forty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 45697 91394 137091 182788 274182 365576 411273 548364 594061 822546 1096728 1188122 1645092 1782183 2376244 3290184 3564366 4752488 5346549 7128732 7722793 10693098 14257464 15445586 21386196 23168379 30891172 42772392 46336758 61782344 69505137 92673516 139010274 185347032 278020548 556041096