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81556992 = 2932111609
BaseRepresentation
bin1001101110001…
…11011000000000
312200110112011100
410313013120000
5131334310432
612032014400
72010136326
oct467073000
9180415140
1081556992
1142044a80
1223391400
1313b86c9a
14ab8dd16
15726007c
hex4dc7600

81556992 has 120 divisors (see below), whose sum is σ = 256936680. Its totient is φ = 24698880.

The previous prime is 81556967. The next prime is 81557009. The reversal of 81556992 is 29965518.

81556992 is a `hidden beast` number, since 8 + 1 + 556 + 9 + 92 = 666.

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 11 ways as a sum of consecutive naturals, for example, 49884 + ... + 51492.

It is an arithmetic number, because the mean of its divisors is an integer number (2141139).

Almost surely, 281556992 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 81556992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128468340).

81556992 is an abundant number, since it is smaller than the sum of its proper divisors (175379688).

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

81556992 is a wasteful number, since it uses less digits than its factorization.

81556992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1625 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 81556992 is about 9030.8909859437. The cubic root of 81556992 is about 433.6643613923.

The spelling of 81556992 in words is "eighty-one million, five hundred fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 1609 2112 2304 2816 3168 3218 4224 4608 4827 5632 6336 6436 8448 9654 12672 12872 14481 16896 17699 19308 25344 25744 28962 35398 38616 50688 51488 53097 57924 70796 77232 102976 106194 115848 141592 154464 159291 205952 212388 231696 283184 308928 318582 411904 424776 463392 566368 617856 637164 823808 849552 926784 1132736 1235712 1274328 1699104 1853568 2265472 2471424 2548656 3398208 3707136 4530944 5097312 6796416 7414272 9061888 10194624 13592832 20389248 27185664 40778496 81556992