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81653376 = 273737821
BaseRepresentation
bin1001101110111…
…10111010000000
312200122102101010
410313132322000
5131400402001
612034040520
72011020330
oct467367200
9180572333
1081653376
1142100432
1223419140
1313bbbb0c
14abb70c0
15727d8d6
hex4ddee80

81653376 has 128 divisors (see below), whose sum is σ = 254885760. Its totient is φ = 22671360.

The previous prime is 81653359. The next prime is 81653387. The reversal of 81653376 is 67335618.

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, 99046 + ... + 99866.

It is an arithmetic number, because the mean of its divisors is an integer number (1991295).

Almost surely, 281653376 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 81653376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127442880).

81653376 is an abundant number, since it is smaller than the sum of its proper divisors (173232384).

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

81653376 is a wasteful number, since it uses less digits than its factorization.

81653376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 870 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 81653376 is about 9036.2257607919. The cubic root of 81653376 is about 433.8351288923.

The spelling of 81653376 in words is "eighty-one million, six hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 259 296 336 384 444 448 518 592 672 777 821 888 896 1036 1184 1344 1554 1642 1776 2072 2368 2463 2688 3108 3284 3552 4144 4736 4926 5747 6216 6568 7104 8288 9852 11494 12432 13136 14208 16576 17241 19704 22988 24864 26272 30377 33152 34482 39408 45976 49728 52544 60754 68964 78816 91131 91952 99456 105088 121508 137928 157632 182262 183904 212639 243016 275856 315264 364524 367808 425278 486032 551712 637917 729048 735616 850556 972064 1103424 1275834 1458096 1701112 1944128 2206848 2551668 2916192 3402224 3888256 5103336 5832384 6804448 10206672 11664768 13608896 20413344 27217792 40826688 81653376