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95220864 = 273282657
BaseRepresentation
bin1011010110011…
…11010010000000
320122011201110200
411223033102000
5143334031424
613240525200
72234235564
oct553172200
9218151420
1095220864
1149827932
1227a80800
131695c40b
14c9096a4
15855d8c9
hex5acf480

95220864 has 48 divisors (see below), whose sum is σ = 274011270. Its totient is φ = 31739904.

The previous prime is 95220863. The next prime is 95220883. The reversal of 95220864 is 46802259.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 77580864 + 17640000 = 8808^2 + 4200^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 (95220863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40177 + ... + 42480.

Almost surely, 295220864 is an apocalyptic number.

It is an amenable number.

95220864 is an abundant number, since it is smaller than the sum of its proper divisors (178790406).

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

95220864 is a wasteful number, since it uses less digits than its factorization.

95220864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82677 (or 82662 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 95220864 is about 9758.1178513072. The cubic root of 95220864 is about 456.6435972031.

The spelling of 95220864 in words is "ninety-five million, two hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 82657 165314 247971 330628 495942 661256 743913 991884 1322512 1487826 1983768 2645024 2975652 3967536 5290048 5951304 7935072 10580096 11902608 15870144 23805216 31740288 47610432 95220864