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81276864 = 2631737673
BaseRepresentation
bin1001101100000…
…10111111000000
312122221021220020
410312002333000
5131301324424
612022013440
72004561534
oct466027700
9178837806
1081276864
1141973569
1223277280
1313ab9626
14ab19bc4
157207079
hex4d82fc0

81276864 has 112 divisors (see below), whose sum is σ = 234196128. Its totient is φ = 24772608.

The previous prime is 81276863. The next prime is 81276869. The reversal of 81276864 is 46867218.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81276863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120432 + ... + 121104.

Almost surely, 281276864 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 81276864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117098064).

81276864 is an abundant number, since it is smaller than the sum of its proper divisors (152919264).

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

81276864 is a wasteful number, since it uses less digits than its factorization.

81276864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 732 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 81276864 is about 9015.3682121142. The cubic root of 81276864 is about 433.1672820717.

The spelling of 81276864 in words is "eighty-one million, two hundred seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 64 68 74 96 102 111 136 148 192 204 222 272 296 408 444 544 592 629 673 816 888 1088 1184 1258 1346 1632 1776 1887 2019 2368 2516 2692 3264 3552 3774 4038 5032 5384 7104 7548 8076 10064 10768 11441 15096 16152 20128 21536 22882 24901 30192 32304 34323 40256 43072 45764 49802 60384 64608 68646 74703 91528 99604 120768 129216 137292 149406 183056 199208 274584 298812 366112 398416 423317 549168 597624 732224 796832 846634 1098336 1195248 1269951 1593664 1693268 2196672 2390496 2539902 3386536 4780992 5079804 6773072 10159608 13546144 20319216 27092288 40638432 81276864