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96903312 = 24311223823
BaseRepresentation
bin1011100011010…
…10000010010000
320202100012100120
411301222002100
5144301401222
613340550240
72254443642
oct561520220
9222305316
1096903312
114a776990
1228552380
13170cb14c
14cc26892
15879215c
hex5c6a090

96903312 has 80 divisors (see below), whose sum is σ = 274649088. Its totient is φ = 29197440.

The previous prime is 96903307. The next prime is 96903343. The reversal of 96903312 is 21330969.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117333 + ... + 118155.

Almost surely, 296903312 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 96903312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137324544).

96903312 is an abundant number, since it is smaller than the sum of its proper divisors (177745776).

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

96903312 is a wasteful number, since it uses less digits than its factorization.

96903312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 96903312 is about 9843.9479884851. The cubic root of 96903312 is about 459.3173743996.

The spelling of 96903312 in words is "ninety-six million, nine hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 223 264 446 528 669 823 892 1338 1646 1784 2453 2469 2676 3292 3568 4906 4938 5352 6584 7359 9053 9812 9876 10704 13168 14718 18106 19624 19752 27159 29436 36212 39248 39504 54318 58872 72424 108636 117744 144848 183529 217272 367058 434544 550587 734116 1101174 1468232 2018819 2202348 2936464 4037638 4404696 6056457 8075276 8809392 12112914 16150552 24225828 32301104 48451656 96903312