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96192768 = 283729617
BaseRepresentation
bin1011011101111…
…00100100000000
320201000002200010
411232330210000
5144111132033
613313424520
72245424250
oct556744400
9221002603
1096192768
114a331061
122826b140
1316c0c8c9
14cabd960
1586a1863
hex5bbc900

96192768 has 144 divisors (see below), whose sum is σ = 303166080. Its totient is φ = 26492928.

The previous prime is 96192743. The next prime is 96192773. The reversal of 96192768 is 86729169.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (326592) is a multiple of the sum of its prime factors (672).

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, 155596 + ... + 156212.

It is an arithmetic number, because the mean of its divisors is an integer number (2105320).

Almost surely, 296192768 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 96192768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151583040).

96192768 is an abundant number, since it is smaller than the sum of its proper divisors (206973312).

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

96192768 is a wasteful number, since it uses less digits than its factorization.

96192768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 658 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 96192768 is about 9807.7911886418. The cubic root of 96192768 is about 458.1919702737.

The spelling of 96192768 in words is "ninety-six million, one hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 256 336 348 384 406 448 464 609 617 672 696 768 812 896 928 1218 1234 1344 1392 1624 1792 1851 1856 2436 2468 2688 2784 3248 3702 3712 4319 4872 4936 5376 5568 6496 7404 7424 8638 9744 9872 11136 12957 12992 14808 17276 17893 19488 19744 22272 25914 25984 29616 34552 35786 38976 39488 51828 51968 53679 59232 69104 71572 77952 78976 103656 107358 118464 125251 138208 143144 155904 157952 207312 214716 236928 250502 276416 286288 375753 414624 429432 473856 501004 552832 572576 751506 829248 858864 1002008 1105664 1145152 1503012 1658496 1717728 2004016 2290304 3006024 3316992 3435456 4008032 4580608 6012048 6870912 8016064 12024096 13741824 16032128 24048192 32064256 48096384 96192768