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82611516 = 223131573373
BaseRepresentation
bin1001110110010…
…00110100111100
312202110002200210
410323020310330
5132122032031
612110352420
72022120621
oct473106474
9182402623
1082611516
11426a5289
12237bb710
1314165c70
14ad86348
1573bc746
hex4ec8d3c

82611516 has 48 divisors (see below), whose sum is σ = 208972064. Its totient is φ = 25249536.

The previous prime is 82611509. The next prime is 82611523. The reversal of 82611516 is 61511628.

It is an interprime number because it is at equal distance from previous prime (82611509) and next prime (82611523).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22806 + ... + 26178.

Almost surely, 282611516 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 82611516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104486032).

82611516 is an abundant number, since it is smaller than the sum of its proper divisors (126360548).

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

82611516 is a wasteful number, since it uses less digits than its factorization.

82611516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550 (or 3548 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 82611516 is about 9089.0877430026. The cubic root of 82611516 is about 435.5254424763.

The spelling of 82611516 in words is "eighty-two million, six hundred eleven thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 157 314 471 628 942 1884 2041 3373 4082 6123 6746 8164 10119 12246 13492 20238 24492 40476 43849 87698 131547 175396 263094 526188 529561 1059122 1588683 2118244 3177366 6354732 6884293 13768586 20652879 27537172 41305758 82611516