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89933472 = 2532312269
BaseRepresentation
bin1010101110001…
…00011010100000
320021020002112100
411113010122200
5141010332342
612531330400
72141264466
oct527043240
9207202470
1089933472
1146846392
1226150a00
131582a895
14bd30836
157d66e4c
hex55c46a0

89933472 has 36 divisors (see below), whose sum is σ = 255749130. Its totient is φ = 29977728.

The previous prime is 89933471. The next prime is 89933483. The reversal of 89933472 is 27433998.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 88284816 + 1648656 = 9396^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (89933471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 155847 + ... + 156422.

Almost surely, 289933472 is an apocalyptic number.

It is an amenable number.

89933472 is an abundant number, since it is smaller than the sum of its proper divisors (165815658).

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

89933472 is a wasteful number, since it uses less digits than its factorization.

89933472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312285 (or 312274 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 89933472 is about 9483.3259988255. The cubic root of 89933472 is about 448.0300256236.

The spelling of 89933472 in words is "eighty-nine million, nine hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 312269 624538 936807 1249076 1873614 2498152 2810421 3747228 4996304 5620842 7494456 9992608 11241684 14988912 22483368 29977824 44966736 89933472