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89995272 = 23353139509
BaseRepresentation
bin1010101110100…
…11100000001000
320021100020022020
411113103200020
5141014322042
612532524440
72141642613
oct527234010
9207306266
1089995272
1146888864
1226180720
131584ca53
14bd4917a
157d7a3ec
hex55d3808

89995272 has 64 divisors (see below), whose sum is σ = 231336000. Its totient is φ = 29163264.

The previous prime is 89995249. The next prime is 89995273. The reversal of 89995272 is 27259998.

89995272 is nontrivially palindromic in base 11.

It is not an unprimeable number, because it can be changed into a prime (89995273) 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 15 ways as a sum of consecutive naturals, for example, 176554 + ... + 177062.

It is an arithmetic number, because the mean of its divisors is an integer number (3614625).

Almost surely, 289995272 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 89995272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115668000).

89995272 is an abundant number, since it is smaller than the sum of its proper divisors (141340728).

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

89995272 is a wasteful number, since it uses less digits than its factorization.

89995272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 706 counting only the distinct ones).

The product of its digits is 816480, while the sum is 51.

The square root of 89995272 is about 9486.5837897528. The cubic root of 89995272 is about 448.1326270807.

The spelling of 89995272 in words is "eighty-nine million, nine hundred ninety-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 139 159 212 278 318 417 424 509 556 636 834 1018 1112 1272 1527 1668 2036 3054 3336 4072 6108 7367 12216 14734 22101 26977 29468 44202 53954 58936 70751 80931 88404 107908 141502 161862 176808 212253 215816 283004 323724 424506 566008 647448 849012 1698024 3749803 7499606 11249409 14999212 22498818 29998424 44997636 89995272