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96317312 = 277138269
BaseRepresentation
bin1011011110110…
…10111110000000
320201020102111212
411233122332000
5144124123222
613320225252
72246453330
oct557327600
9221212455
1096317312
114a406693
122830b228
1316c544c0
14cb130c0
1586c86e2
hex5bdaf80

96317312 has 64 divisors (see below), whose sum is σ = 236191200. Its totient is φ = 38098944.

The previous prime is 96317311. The next prime is 96317317. The reversal of 96317312 is 21371369.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96317311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7514 + ... + 15782.

Almost surely, 296317312 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 96317312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118095600).

96317312 is an abundant number, since it is smaller than the sum of its proper divisors (139873888).

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

96317312 is a wasteful number, since it uses less digits than its factorization.

96317312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8303 (or 8291 counting only the distinct ones).

The product of its digits is 6804, while the sum is 32.

The square root of 96317312 is about 9814.1383727763. The cubic root of 96317312 is about 458.3896304915.

The spelling of 96317312 in words is "ninety-six million, three hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 5824 8269 11648 16538 33076 57883 66152 107497 115766 132304 214994 231532 264608 429988 463064 529216 752479 859976 926128 1058432 1504958 1719952 1852256 3009916 3439904 3704512 6019832 6879808 7409024 12039664 13759616 24079328 48158656 96317312