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82106424 = 23322939323
BaseRepresentation
bin1001110010011…
…01100000111000
312201111102211200
410321031200320
5132004401144
612051454200
72014615221
oct471154070
9181442750
1082106424
114238a854
12235b7360
131401a0aa
14ac94248
15731cc69
hex4e4d838

82106424 has 48 divisors (see below), whose sum is σ = 230045400. Its totient is φ = 26424384.

The previous prime is 82106419. The next prime is 82106443. The reversal of 82106424 is 42460128.

82106424 is a `hidden beast` number, since 8 + 2 + 10 + 642 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17574 + ... + 21749.

Almost surely, 282106424 is an apocalyptic number.

It is an amenable number.

82106424 is an abundant number, since it is smaller than the sum of its proper divisors (147938976).

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

82106424 is a wasteful number, since it uses less digits than its factorization.

82106424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39364 (or 39357 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82106424 is about 9061.2595151005. The cubic root of 82106424 is about 434.6360173646.

The spelling of 82106424 in words is "eighty-two million, one hundred six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 39323 78646 117969 157292 235938 314584 353907 471876 707814 943752 1140367 1415628 2280734 2831256 3421101 4561468 6842202 9122936 10263303 13684404 20526606 27368808 41053212 82106424