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81085056 = 2731337439
BaseRepresentation
bin1001101010101…
…00001010000000
312122120112210020
410311110022000
5131224210211
612013533440
72003132403
oct465241200
9178515706
1081085056
1141852448
12231a4280
1313a50230
14aaa9d3a
1571ba306
hex4d54280

81085056 has 128 divisors (see below), whose sum is σ = 238761600. Its totient is φ = 24219648.

The previous prime is 81085033. The next prime is 81085061. The reversal of 81085056 is 65058018.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184485 + ... + 184923.

It is an arithmetic number, because the mean of its divisors is an integer number (1865325).

Almost surely, 281085056 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 81085056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119380800).

81085056 is an abundant number, since it is smaller than the sum of its proper divisors (157676544).

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

81085056 is a wasteful number, since it uses less digits than its factorization.

81085056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 81085056 is about 9004.7240934967. The cubic root of 81085056 is about 432.8262650012.

The spelling of 81085056 in words is "eighty-one million, eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 192 208 222 296 312 384 416 439 444 481 592 624 832 878 888 962 1184 1248 1317 1443 1664 1756 1776 1924 2368 2496 2634 2886 3512 3552 3848 4736 4992 5268 5707 5772 7024 7104 7696 10536 11414 11544 14048 14208 15392 16243 17121 21072 22828 23088 28096 30784 32486 34242 42144 45656 46176 48729 56192 61568 64972 68484 84288 91312 92352 97458 129944 136968 168576 182624 184704 194916 211159 259888 273936 365248 389832 422318 519776 547872 633477 730496 779664 844636 1039552 1095744 1266954 1559328 1689272 2079104 2191488 2533908 3118656 3378544 5067816 6237312 6757088 10135632 13514176 20271264 27028352 40542528 81085056