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82491264 = 273323869
BaseRepresentation
bin1001110101010…
…11011110000000
312202012222202000
410322223132000
5132104210024
612104024000
72021110212
oct472533600
9182188660
1082491264
11426229a9
1223762000
13141232cb
14ad545b2
157396cc9
hex4eab780

82491264 has 64 divisors (see below), whose sum is σ = 243474000. Its totient is φ = 27495936.

The previous prime is 82491257. The next prime is 82491281. The reversal of 82491264 is 46219428.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8479 + ... + 15390.

Almost surely, 282491264 is an apocalyptic number.

It is an amenable number.

82491264 is an abundant number, since it is smaller than the sum of its proper divisors (160982736).

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

82491264 is a wasteful number, since it uses less digits than its factorization.

82491264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23892 (or 23874 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 82491264 is about 9082.4701485884. The cubic root of 82491264 is about 435.3140182082.

The spelling of 82491264 in words is "eighty-two million, four hundred ninety-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 23869 47738 71607 95476 143214 190952 214821 286428 381904 429642 572856 644463 763808 859284 1145712 1288926 1527616 1718568 2291424 2577852 3055232 3437136 4582848 5155704 6874272 9165696 10311408 13748544 20622816 27497088 41245632 82491264