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556042032 = 243271342433
BaseRepresentation
bin100001001001001…
…000011100110000
31102202021212021100
4201021020130300
52114321321112
6131101524400
716531164540
oct4111103460
91382255240
10556042032
11265964677
12136273700
138b277670
1453bc3320
1533c382dc
hex21248730

556042032 has 120 divisors (see below), whose sum is σ = 1915301024. Its totient is φ = 146644992.

The previous prime is 556041991. The next prime is 556042061. The reversal of 556042032 is 230240655.

556042032 is a `hidden beast` number, since 5 + 5 + 604 + 20 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 556041987 and 556042005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8113 + ... + 34320.

Almost surely, 2556042032 is an apocalyptic number.

556042032 is a gapful number since it is divisible by the number (52) 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 556042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957650512).

556042032 is an abundant number, since it is smaller than the sum of its proper divisors (1359258992).

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

556042032 is a wasteful number, since it uses less digits than its factorization.

556042032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42467 (or 42458 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 556042032 is about 23580.5435051866. The cubic root of 556042032 is about 822.3105722555.

Adding to 556042032 its reverse (230240655), we get a palindrome (786282687).

The spelling of 556042032 in words is "five hundred fifty-six million, forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 42433 84866 127299 169732 254598 297031 339464 381897 509196 551629 594062 678928 763794 891093 1018392 1103258 1188124 1527588 1654887 1782186 2036784 2206516 2376248 2673279 3055176 3309774 3564372 3861403 4413032 4752496 4964661 5346558 6110352 6619548 7128744 7722806 8826064 9929322 10693116 11584209 13239096 14257488 15445612 19858644 21386232 23168418 26478192 30891224 34752627 39717288 42772464 46336836 61782448 69505254 79434576 92673672 139010508 185347344 278021016 556042032