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96057468 = 223313312207
BaseRepresentation
bin1011011100110…
…11100001111100
320200202020002000
411232123201330
5144042314333
613310502300
72244321633
oct556334174
9220666060
1096057468
114a249441
1228204990
1316b93150
14ca8651a
158676713
hex5b9b87c

96057468 has 96 divisors (see below), whose sum is σ = 276971520. Its totient is φ = 28589760.

The previous prime is 96057457. The next prime is 96057517. The reversal of 96057468 is 86475069.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42421 + ... + 44627.

It is an arithmetic number, because the mean of its divisors is an integer number (2885120).

Almost surely, 296057468 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 96057468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138485760).

96057468 is an abundant number, since it is smaller than the sum of its proper divisors (180914052).

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

96057468 is a wasteful number, since it uses less digits than its factorization.

96057468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 96057468 is about 9800.8911839689. The cubic root of 96057468 is about 457.9770460709.

The spelling of 96057468 in words is "ninety-six million, fifty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 108 117 124 156 186 234 279 351 372 403 468 558 702 806 837 1116 1209 1404 1612 1674 2207 2418 3348 3627 4414 4836 6621 7254 8828 10881 13242 14508 19863 21762 26484 28691 39726 43524 57382 59589 68417 79452 86073 114764 119178 136834 172146 205251 238356 258219 273668 344292 410502 516438 615753 774657 821004 889421 1032876 1231506 1549314 1778842 1847259 2463012 2668263 3098628 3557684 3694518 5336526 7389036 8004789 10673052 16009578 24014367 32019156 48028734 96057468