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916068192 = 253134991471
BaseRepresentation
bin110110100110100…
…001011101100000
32100211202002022120
4312212201131200
53334003140232
6230522304240
731462310514
oct6646413540
92324662276
10916068192
11430107656
12216958080
13117a312b0
1489940144
155565292c
hex369a1760

916068192 has 96 divisors (see below), whose sum is σ = 2596608000. Its totient is φ = 281111040.

The previous prime is 916068157. The next prime is 916068193. The reversal of 916068192 is 291860619.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916068193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622017 + ... + 623487.

It is an arithmetic number, because the mean of its divisors is an integer number (27048000).

Almost surely, 2916068192 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 916068192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298304000).

916068192 is an abundant number, since it is smaller than the sum of its proper divisors (1680539808).

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

916068192 is a wasteful number, since it uses less digits than its factorization.

916068192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 916068192 is about 30266.6184434271. The cubic root of 916068192 is about 971.2013287212.

The spelling of 916068192 in words is "nine hundred sixteen million, sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 499 624 998 1248 1471 1497 1996 2942 2994 3992 4413 5884 5988 6487 7984 8826 11768 11976 12974 15968 17652 19123 19461 23536 23952 25948 35304 38246 38922 47072 47904 51896 57369 70608 76492 77844 103792 114738 141216 152984 155688 207584 229476 305968 311376 458952 611936 622752 734029 917904 1468058 1835808 2202087 2936116 4404174 5872232 8808348 9542377 11744464 17616696 19084754 23488928 28627131 35233392 38169508 57254262 70466784 76339016 114508524 152678032 229017048 305356064 458034096 916068192