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81662016 = 26317127197
BaseRepresentation
bin1001101111000…
…01000001000000
312200122212020010
410313201001000
5131401141031
612034144520
72011054452
oct467410100
9180585203
1081662016
1142106977
1223422140
1313bc2a27
14abba2d2
157281246
hex4de1040

81662016 has 112 divisors (see below), whose sum is σ = 231745536. Its totient is φ = 25288704.

The previous prime is 81662011. The next prime is 81662041. The reversal of 81662016 is 61026618.

It is not an unprimeable number, because it can be changed into a prime (81662011) 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, 414430 + ... + 414626.

Almost surely, 281662016 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 81662016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115872768).

81662016 is an abundant number, since it is smaller than the sum of its proper divisors (150083520).

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

81662016 is a wasteful number, since it uses less digits than its factorization.

81662016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 81662016 is about 9036.7038238508. The cubic root of 81662016 is about 433.8504301715.

The spelling of 81662016 in words is "eighty-one million, six hundred sixty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 127 136 192 197 204 254 272 381 394 408 508 544 591 762 788 816 1016 1088 1182 1524 1576 1632 2032 2159 2364 3048 3152 3264 3349 4064 4318 4728 6096 6304 6477 6698 8128 8636 9456 10047 12192 12608 12954 13396 17272 18912 20094 24384 25019 25908 26792 34544 37824 40188 50038 51816 53584 69088 75057 80376 100076 103632 107168 138176 150114 160752 200152 207264 214336 300228 321504 400304 414528 425323 600456 643008 800608 850646 1200912 1275969 1601216 1701292 2401824 2551938 3402584 4803648 5103876 6805168 10207752 13610336 20415504 27220672 40831008 81662016