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96015648 = 25353113167
BaseRepresentation
bin1011011100100…
…01010100100000
320200200002201010
411232101110200
5144040000043
613305540520
72244056001
oct556212440
9220602633
1096015648
114a21aa83
12281a4740
1316b7a0c1
14ca751a8
158669133
hex5b91520

96015648 has 96 divisors (see below), whose sum is σ = 260620416. Its totient is φ = 30937088.

The previous prime is 96015631. The next prime is 96015653. The reversal of 96015648 is 84651069.

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

It is a super-3 number, since 3×960156483 (a number of 25 digits) contains 333 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 15 ways as a sum of consecutive naturals, for example, 574861 + ... + 575027.

It is an arithmetic number, because the mean of its divisors is an integer number (2714796).

Almost surely, 296015648 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 96015648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130310208).

96015648 is an abundant number, since it is smaller than the sum of its proper divisors (164604768).

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

96015648 is a wasteful number, since it uses less digits than its factorization.

96015648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 96015648 is about 9798.7574722513. The cubic root of 96015648 is about 457.9105741259.

The spelling of 96015648 in words is "ninety-six million, fifteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 113 159 167 212 226 318 334 339 424 452 501 636 668 678 848 904 1002 1272 1336 1356 1696 1808 2004 2544 2672 2712 3616 4008 5088 5344 5424 5989 8016 8851 10848 11978 16032 17702 17967 18871 23956 26553 35404 35934 37742 47912 53106 56613 70808 71868 75484 95824 106212 113226 141616 143736 150968 191648 212424 226452 283232 287472 301936 424848 452904 574944 603872 849696 905808 1000163 1811616 2000326 3000489 4000652 6000978 8001304 12001956 16002608 24003912 32005216 48007824 96015648