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96893888 = 26713127131
BaseRepresentation
bin1011100011001…
…11101111000000
320202022201102112
411301213233000
5144301101023
613340434452
72254404320
oct561475700
9222281375
1096893888
114a76a8a3
1228548a28
13170c6a80
14cc23280
15878e478
hex5c67bc0

96893888 has 112 divisors (see below), whose sum is σ = 240328704. Its totient is φ = 37739520.

The previous prime is 96893873. The next prime is 96893891. The reversal of 96893888 is 88839869.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739583 + ... + 739713.

It is an arithmetic number, because the mean of its divisors is an integer number (2145792).

Almost surely, 296893888 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 96893888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120164352).

96893888 is an abundant number, since it is smaller than the sum of its proper divisors (143434816).

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

96893888 is a wasteful number, since it uses less digits than its factorization.

96893888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 59.

The square root of 96893888 is about 9843.4693071092. The cubic root of 96893888 is about 459.3024841370.

The spelling of 96893888 in words is "ninety-six million, eight hundred ninety-three thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 127 131 182 208 224 254 262 364 416 448 508 524 728 832 889 917 1016 1048 1456 1651 1703 1778 1834 2032 2096 2912 3302 3406 3556 3668 4064 4192 5824 6604 6812 7112 7336 8128 8384 11557 11921 13208 13624 14224 14672 16637 23114 23842 26416 27248 28448 29344 33274 46228 47684 52832 54496 56896 58688 66548 92456 95368 105664 108992 116459 133096 184912 190736 216281 232918 266192 369824 381472 432562 465836 532384 739648 762944 865124 931672 1064768 1513967 1730248 1863344 3027934 3460496 3726688 6055868 6920992 7453376 12111736 13841984 24223472 48446944 96893888