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96068256 = 25319311699
BaseRepresentation
bin1011011100111…
…10001010100000
320200202202212120
411232132022200
5144043141011
613311024240
72244365244
oct556361240
9220682776
1096068256
114a256559
122820b080
1316b9802b
14ca8a424
158679a06
hex5b9e2a0

96068256 has 96 divisors (see below), whose sum is σ = 274176000. Its totient is φ = 29341440.

The previous prime is 96068249. The next prime is 96068257. The reversal of 96068256 is 65286069.

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

It is not an unprimeable number, because it can be changed into a prime (96068257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55695 + ... + 57393.

It is an arithmetic number, because the mean of its divisors is an integer number (2856000).

Almost surely, 296068256 is an apocalyptic number.

96068256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96068256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137088000).

96068256 is an abundant number, since it is smaller than the sum of its proper divisors (178107744).

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

96068256 is a wasteful number, since it uses less digits than its factorization.

96068256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 96068256 is about 9801.4415266327. The cubic root of 96068256 is about 457.9941902227.

The spelling of 96068256 in words is "ninety-six million, sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 93 96 114 124 152 186 228 248 304 372 456 496 589 608 744 912 992 1178 1488 1699 1767 1824 2356 2976 3398 3534 4712 5097 6796 7068 9424 10194 13592 14136 18848 20388 27184 28272 32281 40776 52669 54368 56544 64562 81552 96843 105338 129124 158007 163104 193686 210676 258248 316014 387372 421352 516496 632028 774744 842704 1000711 1032992 1264056 1549488 1685408 2001422 2528112 3002133 3098976 4002844 5056224 6004266 8005688 12008532 16011376 24017064 32022752 48034128 96068256