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89230752 = 25321323833
BaseRepresentation
bin1010101000110…
…00110110100000
320012220101120200
411110120312200
5140320341002
612504305200
72132306652
oct524306640
9205811520
1089230752
1146406426
1225a72200
1315642a80
14bbca6d2
157c78b1c
hex5518da0

89230752 has 72 divisors (see below), whose sum is σ = 273280644. Its totient is φ = 27454464.

The previous prime is 89230733. The next prime is 89230753. The reversal of 89230752 is 25703298.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 89189136 + 41616 = 9444^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (89230753) 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 11 ways as a sum of consecutive naturals, for example, 8173 + ... + 15660.

Almost surely, 289230752 is an apocalyptic number.

It is an amenable number.

89230752 is an abundant number, since it is smaller than the sum of its proper divisors (184049892).

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

89230752 is a wasteful number, since it uses less digits than its factorization.

89230752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23862 (or 23851 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 89230752 is about 9446.2030467273. The cubic root of 89230752 is about 446.8600375579.

The spelling of 89230752 in words is "eighty-nine million, two hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 23833 47666 71499 95332 142998 190664 214497 285996 309829 381328 428994 571992 619658 762656 857988 929487 1143984 1239316 1715976 1858974 2287968 2478632 2788461 3431952 3717948 4957264 5576922 6863904 7435896 9914528 11153844 14871792 22307688 29743584 44615376 89230752