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82123392 = 2731316451
BaseRepresentation
bin1001110010100…
…01101010000000
312201112022010010
410321101222000
5132010422032
612052104520
72015015541
oct471215200
9181468103
1082123392
11423a157a
1223605140
1314024a30
14ac9a4c8
157322ccc
hex4e51a80

82123392 has 64 divisors (see below), whose sum is σ = 234934560. Its totient is φ = 25267200.

The previous prime is 82123381. The next prime is 82123397. The reversal of 82123392 is 29332128.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (82123397) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3234 + ... + 13217.

Almost surely, 282123392 is an apocalyptic number.

It is an amenable number.

82123392 is an abundant number, since it is smaller than the sum of its proper divisors (152811168).

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

82123392 is a wasteful number, since it uses less digits than its factorization.

82123392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16481 (or 16469 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 82123392 is about 9062.1957604104. The cubic root of 82123392 is about 434.6659557284.

The spelling of 82123392 in words is "eighty-two million, one hundred twenty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 16451 32902 49353 65804 98706 131608 197412 213863 263216 394824 427726 526432 641589 789648 855452 1052864 1283178 1579296 1710904 2105728 2566356 3158592 3421808 5132712 6317184 6843616 10265424 13687232 20530848 27374464 41061696 82123392