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96084168 = 23347103827
BaseRepresentation
bin1011011101000…
…10000011001000
320200210120200220
411232202003020
5144044143133
613311230040
72244462525
oct556420310
9220716626
1096084168
114a267504
1228218320
1316ba234b
14ca9214c
15867e5b3
hex5ba20c8

96084168 has 64 divisors (see below), whose sum is σ = 248002560. Its totient is φ = 31004736.

The previous prime is 96084151. The next prime is 96084199. The reversal of 96084168 is 86148069.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115771 + ... + 116597.

It is an arithmetic number, because the mean of its divisors is an integer number (3875040).

Almost surely, 296084168 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 96084168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124001280).

96084168 is an abundant number, since it is smaller than the sum of its proper divisors (151918392).

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

96084168 is a wasteful number, since it uses less digits than its factorization.

96084168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 96084168 is about 9802.2532103593. The cubic root of 96084168 is about 458.0194750273.

The spelling of 96084168 in words is "ninety-six million, eighty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 103 141 188 206 282 309 376 412 564 618 824 827 1128 1236 1654 2472 2481 3308 4841 4962 6616 9682 9924 14523 19364 19848 29046 38728 38869 58092 77738 85181 116184 116607 155476 170362 233214 255543 310952 340724 466428 511086 681448 932856 1022172 2044344 4003507 8007014 12010521 16014028 24021042 32028056 48042084 96084168