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81725856 = 2534759307
BaseRepresentation
bin1001101111100…
…00100110100000
312200210002210120
410313300212200
5131410211411
612035400240
72011441542
oct467604640
9180702716
1081725856
114214a933
1223453080
1313c15ac4
14abd5692
157295106
hex4df09a0

81725856 has 96 divisors (see below), whose sum is σ = 223534080. Its totient is φ = 26125056.

The previous prime is 81725849. The next prime is 81725869. The reversal of 81725856 is 65852718.

It is a tau number, because it is divible by the number of its divisors (96).

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, 266055 + ... + 266361.

It is an arithmetic number, because the mean of its divisors is an integer number (2328480).

Almost surely, 281725856 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 81725856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111767040).

81725856 is an abundant number, since it is smaller than the sum of its proper divisors (141808224).

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

81725856 is a wasteful number, since it uses less digits than its factorization.

81725856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 418 counting only the distinct ones).

The product of its digits is 134400, while the sum is 42.

The square root of 81725856 is about 9040.2353951653. The cubic root of 81725856 is about 433.9634561881.

It can be divided in two parts, 8172 and 5856, that added together give a triangular number (14028 = T167).

The spelling of 81725856 in words is "eighty-one million, seven hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 59 94 96 118 141 177 188 236 282 307 354 376 472 564 614 708 752 921 944 1128 1228 1416 1504 1842 1888 2256 2456 2773 2832 3684 4512 4912 5546 5664 7368 8319 9824 11092 14429 14736 16638 18113 22184 28858 29472 33276 36226 43287 44368 54339 57716 66552 72452 86574 88736 108678 115432 133104 144904 173148 217356 230864 266208 289808 346296 434712 461728 579616 692592 851311 869424 1385184 1702622 1738848 2553933 3405244 5107866 6810488 10215732 13620976 20431464 27241952 40862928 81725856