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81522816 = 273474517
BaseRepresentation
bin1001101101111…
…11000010000000
312200101210021120
410312333002000
5131332212231
612031152240
72006634564
oct466770200
9180353246
1081522816
1142021331
1223375680
1313b7456b
14ab816a4
157254d96
hex4dbf080

81522816 has 64 divisors (see below), whose sum is σ = 221201280. Its totient is φ = 26590208.

The previous prime is 81522781. The next prime is 81522869. The reversal of 81522816 is 61822518.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15790 + ... + 20306.

It is an arithmetic number, because the mean of its divisors is an integer number (3456270).

Almost surely, 281522816 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 81522816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110600640).

81522816 is an abundant number, since it is smaller than the sum of its proper divisors (139678464).

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

81522816 is a wasteful number, since it uses less digits than its factorization.

81522816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4581 (or 4569 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 81522816 is about 9028.9986155719. The cubic root of 81522816 is about 433.6037780565.

The spelling of 81522816 in words is "eighty-one million, five hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 3008 4512 4517 6016 9024 9034 13551 18048 18068 27102 36136 54204 72272 108408 144544 212299 216816 289088 424598 433632 578176 636897 849196 867264 1273794 1698392 1734528 2547588 3396784 5095176 6793568 10190352 13587136 20380704 27174272 40761408 81522816