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82439808 = 2731129673
BaseRepresentation
bin1001110100111…
…10111010000000
312202010101011020
410322132322000
5132101033213
612102545440
72020504203
oct472367200
9182111136
1082439808
1142598280
1223738280
1314105a69
14ad3d93a
157386923
hex4e9ee80

82439808 has 128 divisors (see below), whose sum is σ = 247492800. Its totient is φ = 24084480.

The previous prime is 82439789. The next prime is 82439813. The reversal of 82439808 is 80893428.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 82439808.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 122160 + ... + 122832.

Almost surely, 282439808 is an apocalyptic number.

82439808 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 82439808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123746400).

82439808 is an abundant number, since it is smaller than the sum of its proper divisors (165052992).

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

82439808 is a wasteful number, since it uses less digits than its factorization.

82439808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 82439808 is about 9079.6369971492. The cubic root of 82439808 is about 435.2234866938.

The spelling of 82439808 in words is "eighty-two million, four hundred thirty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 128 132 174 176 192 232 264 319 348 352 384 464 528 638 673 696 704 928 957 1056 1276 1346 1392 1408 1856 1914 2019 2112 2552 2692 2784 3712 3828 4038 4224 5104 5384 5568 7403 7656 8076 10208 10768 11136 14806 15312 16152 19517 20416 21536 22209 29612 30624 32304 39034 40832 43072 44418 58551 59224 61248 64608 78068 86144 88836 117102 118448 122496 129216 156136 177672 214687 234204 236896 258432 312272 355344 429374 468408 473792 624544 644061 710688 858748 936816 947584 1249088 1288122 1421376 1717496 1873632 2498176 2576244 2842752 3434992 3747264 5152488 6869984 7494528 10304976 13739968 20609952 27479936 41219904 82439808