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89199072 = 25321916301
BaseRepresentation
bin1010101000100…
…01000111100000
320012211210010100
411110101013200
5140313332242
612503502400
72132115414
oct524210740
9205753110
1089199072
1146394646
1225a57a00
1315631521
14bbbcd44
157c6e54c
hex55111e0

89199072 has 72 divisors (see below), whose sum is σ = 267026760. Its totient is φ = 28166400.

The previous prime is 89199049. The next prime is 89199107. The reversal of 89199072 is 27099198.

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

It is a super-2 number, since 2×891990722 = 15912948891322368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2679 + ... + 13622.

It is an arithmetic number, because the mean of its divisors is an integer number (3708705).

Almost surely, 289199072 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 89199072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133513380).

89199072 is an abundant number, since it is smaller than the sum of its proper divisors (177827688).

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

89199072 is a wasteful number, since it uses less digits than its factorization.

89199072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16336 (or 16325 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 89199072 is about 9444.5260336345. The cubic root of 89199072 is about 446.8071477139.

The spelling of 89199072 in words is "eighty-nine million, one hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 16301 32602 48903 65204 97806 130408 146709 195612 260816 293418 309719 391224 521632 586836 619438 782448 929157 1173672 1238876 1564896 1858314 2347344 2477752 2787471 3716628 4694688 4955504 5574942 7433256 9911008 11149884 14866512 22299768 29733024 44599536 89199072