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95331264 = 2637210133
BaseRepresentation
bin1011010111010…
…10001111000000
320122101022220120
411223222033000
5143401100024
613243140240
72235205500
oct553521700
9218338816
1095331264
11498a2876
1227b14680
131699a742
14c937a00
158581479
hex5aea3c0

95331264 has 84 divisors (see below), whose sum is σ = 293440104. Its totient is φ = 27234816.

The previous prime is 95331263. The next prime is 95331289. The reversal of 95331264 is 46213359.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95331263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4342 + ... + 14474.

Almost surely, 295331264 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 95331264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146720052).

95331264 is an abundant number, since it is smaller than the sum of its proper divisors (198108840).

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

95331264 is a wasteful number, since it uses less digits than its factorization.

95331264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10162 (or 10145 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 95331264 is about 9763.7730411967. The cubic root of 95331264 is about 456.8200080591.

The spelling of 95331264 in words is "ninety-five million, three hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 10133 20266 30399 40532 60798 70931 81064 121596 141862 162128 212793 243192 283724 324256 425586 486384 496517 567448 648512 851172 972768 993034 1134896 1489551 1702344 1945536 1986068 2269792 2979102 3404688 3972136 4539584 5958204 6809376 7944272 11916408 13618752 15888544 23832816 31777088 47665632 95331264