Search a number
-
+
89132112 = 24323716729
BaseRepresentation
bin1010101000000…
…00110001010000
320012201101021100
411110000301100
5140304211422
612502224400
72131416246
oct524006120
9205641240
1089132112
1146349303
1225a25100
1315609bc4
14bba2796
157c597ac
hex5500c50

89132112 has 60 divisors (see below), whose sum is σ = 256203220. Its totient is φ = 28905984.

The previous prime is 89132111. The next prime is 89132179. The reversal of 89132112 is 21123198.

It can be written as a sum of positive squares in 2 ways, for example, as 70157376 + 18974736 = 8376^2 + 4356^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89132111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3037 + ... + 13692.

Almost surely, 289132112 is an apocalyptic number.

It is an amenable number.

89132112 is an abundant number, since it is smaller than the sum of its proper divisors (167071108).

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

89132112 is a wasteful number, since it uses less digits than its factorization.

89132112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16780 (or 16771 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 89132112 is about 9440.9804575584. The cubic root of 89132112 is about 446.6953165950.

It can be divided in two parts, 8913 and 2112, that added together give a square (11025 = 1052).

The spelling of 89132112 in words is "eighty-nine million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 16729 33458 50187 66916 100374 133832 150561 200748 267664 301122 401496 602244 618973 802992 1204488 1237946 1856919 2408976 2475892 3713838 4951784 5570757 7427676 9903568 11141514 14855352 22283028 29710704 44566056 89132112