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89200768 = 271740993
BaseRepresentation
bin1010101000100…
…01100010000000
320012211212110011
411110101202000
5140313411033
612503514304
72132123356
oct524214200
9205755404
1089200768
1146395948
1225a58994
1315632227
14bbbd7d6
157c6eccd
hex5511880

89200768 has 32 divisors (see below), whose sum is σ = 188162460. Its totient is φ = 41975808.

The previous prime is 89200757. The next prime is 89200777. The reversal of 89200768 is 86700298.

It can be written as a sum of positive squares in 2 ways, for example, as 88962624 + 238144 = 9432^2 + 488^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 89200768.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18321 + ... + 22672.

Almost surely, 289200768 is an apocalyptic number.

It is an amenable number.

89200768 is an abundant number, since it is smaller than the sum of its proper divisors (98961692).

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

89200768 is a wasteful number, since it uses less digits than its factorization.

89200768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41024 (or 41012 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 89200768 is about 9444.6158206673. The cubic root of 89200768 is about 446.8099795076.

The spelling of 89200768 in words is "eighty-nine million, two hundred thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 40993 81986 163972 327944 655888 696881 1311776 1393762 2623552 2787524 5247104 5575048 11150096 22300192 44600384 89200768