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88712 = 2313853
BaseRepresentation
bin10101101010001000
311111200122
4111222020
510314322
61522412
7516431
oct255210
9144618
1088712
1160718
1243408
13314c0
1424488
151b442
hex15a88

88712 has 16 divisors (see below), whose sum is σ = 179340. Its totient is φ = 40896.

The previous prime is 88681. The next prime is 88721. The reversal of 88712 is 21788.

It can be written as a sum of positive squares in 2 ways, for example, as 70756 + 17956 = 266^2 + 134^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a plaindrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 323 + ... + 530.

288712 is an apocalyptic number.

It is an amenable number.

88712 is an abundant number, since it is smaller than the sum of its proper divisors (90628).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89670).

88712 is a wasteful number, since it uses less digits than its factorization.

88712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 868 counting only the distinct ones).

The product of its digits is 896, while the sum is 26.

The square root of 88712 is about 297.8455975837. The cubic root of 88712 is about 44.5992398672.

It can be divided in two parts, 8 and 8712, that multiplied together give a palindrome (69696).

The spelling of 88712 in words is "eighty-eight thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 853 1706 3412 6824 11089 22178 44356 88712