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89157952 = 26131011061
BaseRepresentation
bin1010101000001…
…11000101000000
320012202200201101
411110013011000
5140311023302
612502544144
72131554502
oct524070500
9205680641
1089157952
1146366764
1225a38054
13156188b0
14bbabd72
157c62287
hex5507140

89157952 has 56 divisors (see below), whose sum is σ = 192600072. Its totient is φ = 40704000.

The previous prime is 89157917. The next prime is 89157989. The reversal of 89157952 is 25975198.

It can be written as a sum of positive squares in 4 ways, for example, as 26050816 + 63107136 = 5104^2 + 7944^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83502 + ... + 84562.

It is an arithmetic number, because the mean of its divisors is an integer number (3439287).

Almost surely, 289157952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89157952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96300036).

89157952 is an abundant number, since it is smaller than the sum of its proper divisors (103442120).

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

89157952 is a wasteful number, since it uses less digits than its factorization.

89157952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1177 counting only the distinct ones).

The product of its digits is 226800, while the sum is 46.

The square root of 89157952 is about 9442.3488603207. The cubic root of 89157952 is about 446.7384790852.

It can be divided in two parts, 89157 and 952, that added together give a palindrome (90109).

The spelling of 89157952 in words is "eighty-nine million, one hundred fifty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 101 104 202 208 404 416 808 832 1061 1313 1616 2122 2626 3232 4244 5252 6464 8488 10504 13793 16976 21008 27586 33952 42016 55172 67904 84032 107161 110344 214322 220688 428644 441376 857288 882752 1393093 1714576 2786186 3429152 5572372 6858304 11144744 22289488 44578976 89157952