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82318808 = 231113471531
BaseRepresentation
bin1001110100000…
…01010111011000
312201220020011202
410322001113120
5132033200213
612100213332
72016461345
oct472012730
9181806152
1082318808
1142515380
122369a248
1314092970
14ad0b7cc
157360b58
hex4e815d8

82318808 has 64 divisors (see below), whose sum is σ = 185310720. Its totient is φ = 33782400.

The previous prime is 82318807. The next prime is 82318823. The reversal of 82318808 is 80881328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82318801) 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, 53003 + ... + 54533.

It is an arithmetic number, because the mean of its divisors is an integer number (2895480).

Almost surely, 282318808 is an apocalyptic number.

82318808 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82318808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92655360).

82318808 is an abundant number, since it is smaller than the sum of its proper divisors (102991912).

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

82318808 is a wasteful number, since it uses less digits than its factorization.

82318808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 38.

The square root of 82318808 is about 9072.9712883928. The cubic root of 82318808 is about 435.0104511516.

The spelling of 82318808 in words is "eighty-two million, three hundred eighteen thousand, eight hundred eight".

Divisors: 1 2 4 8 11 13 22 26 44 47 52 88 94 104 143 188 286 376 517 572 611 1034 1144 1222 1531 2068 2444 3062 4136 4888 6124 6721 12248 13442 16841 19903 26884 33682 39806 53768 67364 71957 79612 134728 143914 159224 218933 287828 437866 575656 791527 875732 935441 1583054 1751464 1870882 3166108 3741764 6332216 7483528 10289851 20579702 41159404 82318808