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82479808 = 263761571
BaseRepresentation
bin1001110101010…
…00101011000000
312202012102000201
410322220223000
5132103323213
612103454544
72021031625
oct472505300
9182172021
1082479808
1142615334
1223757454
131411b028
14ad5034c
1573936dd
hex4ea8ac0

82479808 has 56 divisors (see below), whose sum is σ = 171149264. Its totient is φ = 39398400.

The previous prime is 82479791. The next prime is 82479821. The reversal of 82479808 is 80897428.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144163 + ... + 144733.

Almost surely, 282479808 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 82479808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85574632).

82479808 is an abundant number, since it is smaller than the sum of its proper divisors (88669456).

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

82479808 is a wasteful number, since it uses less digits than its factorization.

82479808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The square root of 82479808 is about 9081.8394612545. The cubic root of 82479808 is about 435.2938658186.

The spelling of 82479808 in words is "eighty-two million, four hundred seventy-nine thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 37 61 64 74 122 148 244 296 488 571 592 976 1142 1184 1952 2257 2284 2368 3904 4514 4568 9028 9136 18056 18272 21127 34831 36112 36544 42254 69662 72224 84508 139324 144448 169016 278648 338032 557296 676064 1114592 1288747 1352128 2229184 2577494 5154988 10309976 20619952 41239904 82479808