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86760882 = 2341323169
BaseRepresentation
bin1010010101111…
…01110110110010
320001020220120000
411022331312302
5134202322012
612335330430
72102312115
oct512756662
9201226500
1086760882
1144a7980a
1225080a16
1314c89800
14b74657c
15793bddc
hex52bddb2

86760882 has 60 divisors (see below), whose sum is σ = 210579930. Its totient is φ = 26687232.

The previous prime is 86760871. The next prime is 86760901. The reversal of 86760882 is 28806768.

It can be written as a sum of positive squares in 3 ways, for example, as 58660281 + 28100601 = 7659^2 + 5301^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 25794 + ... + 28962.

Almost surely, 286760882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86760882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105289965).

86760882 is an abundant number, since it is smaller than the sum of its proper divisors (123819048).

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

86760882 is a wasteful number, since it uses less digits than its factorization.

86760882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3209 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 86760882 is about 9314.5521631477. The cubic root of 86760882 is about 442.6984344137.

The spelling of 86760882 in words is "eighty-six million, seven hundred sixty thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 351 507 702 1014 1053 1521 2106 3042 3169 4563 6338 9126 9507 13689 19014 27378 28521 41197 57042 82394 85563 123591 171126 247182 256689 370773 513378 535561 741546 1071122 1112319 1606683 2224638 3213366 3336957 4820049 6673914 9640098 14460147 28920294 43380441 86760882