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96094368 = 25322389163
BaseRepresentation
bin1011011101001…
…00100010100000
320200211002200200
411232210202200
5144100004433
613311345200
72244534336
oct556444240
9220732620
1096094368
114a274137
1228222200
1316ba6b96
14ca95b56
158682613
hex5ba48a0

96094368 has 144 divisors (see below), whose sum is σ = 290122560. Its totient is φ = 30108672.

The previous prime is 96094309. The next prime is 96094373. The reversal of 96094368 is 86349069.

96094368 is a `hidden beast` number, since 9 + 609 + 4 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×960943682 = 18468255122638848, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 589455 + ... + 589617.

It is an arithmetic number, because the mean of its divisors is an integer number (2014740).

Almost surely, 296094368 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 96094368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145061280).

96094368 is an abundant number, since it is smaller than the sum of its proper divisors (194028192).

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

96094368 is a wasteful number, since it uses less digits than its factorization.

96094368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 96094368 is about 9802.7734850908. The cubic root of 96094368 is about 458.0356817671.

The spelling of 96094368 in words is "ninety-six million, ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 89 92 96 138 144 163 178 184 207 267 276 288 326 356 368 414 489 534 552 652 712 736 801 828 978 1068 1104 1304 1424 1467 1602 1656 1956 2047 2136 2208 2608 2848 2934 3204 3312 3749 3912 4094 4272 5216 5868 6141 6408 6624 7498 7824 8188 8544 11247 11736 12282 12816 14507 14996 15648 16376 18423 22494 23472 24564 25632 29014 29992 32752 33741 36846 43521 44988 46944 49128 58028 59984 65504 67482 73692 87042 89976 98256 116056 119968 130563 134964 147384 174084 179952 196512 232112 261126 269928 294768 333661 348168 359904 464224 522252 539856 589536 667322 696336 1000983 1044504 1079712 1334644 1392672 2001966 2089008 2669288 3002949 4003932 4178016 5338576 6005898 8007864 10677152 12011796 16015728 24023592 32031456 48047184 96094368