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96568416 = 2533722281
BaseRepresentation
bin1011100000110…
…00010001100000
320201201011222000
411300120101200
5144210142131
613325444000
72251550400
oct560302140
9221634860
1096568416
114a56830a
1228410600
1317011899
14cb7a800
158727ce6
hex5c18460

96568416 has 144 divisors (see below), whose sum is σ = 327786480. Its totient is φ = 27578880.

The previous prime is 96568399. The next prime is 96568457. The reversal of 96568416 is 61486569.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41196 + ... + 43476.

It is an arithmetic number, because the mean of its divisors is an integer number (2276295).

Almost surely, 296568416 is an apocalyptic number.

96568416 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 96568416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163893240).

96568416 is an abundant number, since it is smaller than the sum of its proper divisors (231218064).

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

96568416 is a wasteful number, since it uses less digits than its factorization.

96568416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2293 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 96568416 is about 9826.9230179136. The cubic root of 96568416 is about 458.7876329731.

The spelling of 96568416 in words is "ninety-six million, five hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2281 2352 2646 3024 3528 4562 4704 5292 6048 6843 7056 9124 10584 13686 14112 15967 18248 20529 21168 27372 31934 36496 41058 42336 47901 54744 61587 63868 72992 82116 95802 109488 111769 123174 127736 143703 164232 191604 218976 223538 246348 255472 287406 328464 335307 383208 431109 447076 492696 510944 574812 656928 670614 766416 862218 894152 985392 1005921 1149624 1341228 1532832 1724436 1788304 1970784 2011842 2299248 2682456 3017763 3448872 3576608 4023684 4598496 5364912 6035526 6897744 8047368 10729824 12071052 13795488 16094736 24142104 32189472 48284208 96568416