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81882438 = 2311171923167
BaseRepresentation
bin1001110000101…
…10110101000110
312201002001120220
410320112311012
5131430214223
612043005210
72012663211
oct470266506
9181061526
1081882438
1142247540
1223509806
1313c6c161
14ac36778
1572c66e3
hex4e16d46

81882438 has 128 divisors (see below), whose sum is σ = 209018880. Its totient is φ = 21035520.

The previous prime is 81882433. The next prime is 81882481. The reversal of 81882438 is 83428818.

It is a self number, because there is not a number n which added to its sum of digits gives 81882438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81882433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 490231 + ... + 490397.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 281882438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81882438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104509440).

81882438 is an abundant number, since it is smaller than the sum of its proper divisors (127136442).

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

81882438 is a wasteful number, since it uses less digits than its factorization.

81882438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242.

The product of its digits is 98304, while the sum is 42.

The square root of 81882438 is about 9048.8915343262. The cubic root of 81882438 is about 434.2404289795.

The spelling of 81882438 in words is "eighty-one million, eight hundred eighty-two thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 11 17 19 22 23 33 34 38 46 51 57 66 69 102 114 138 167 187 209 253 323 334 374 391 418 437 501 506 561 627 646 759 782 874 969 1002 1122 1173 1254 1311 1518 1837 1938 2346 2622 2839 3173 3553 3674 3841 4301 4807 5511 5678 6346 7106 7429 7682 8517 8602 9519 9614 10659 11022 11523 12903 14421 14858 17034 19038 21318 22287 23046 25806 28842 31229 34903 42251 44574 53941 62458 65297 69806 72979 81719 84502 93687 104709 107882 126753 130594 145958 161823 163438 187374 195891 209418 218937 245157 253506 323646 391782 437874 490314 593351 718267 802769 1186702 1240643 1436534 1605538 1780053 2154801 2408307 2481286 3560106 3721929 4309602 4816614 7443858 13647073 27294146 40941219 81882438