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99112896 = 26356373
BaseRepresentation
bin1011110100001…
…01011111000000
320220111110100000
411322011133000
5200333103041
613500200000
72312305611
oct572053700
9226443300
1099112896
1150a45a93
1229239000
13176c2aac
14d23dc08
158a7bbb6
hex5e857c0

99112896 has 84 divisors (see below), whose sum is σ = 294657272. Its totient is φ = 33032448.

The previous prime is 99112891. The next prime is 99112913. The reversal of 99112896 is 69821199.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99112891) 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 11 ways as a sum of consecutive naturals, for example, 12366 + ... + 18738.

Almost surely, 299112896 is an apocalyptic number.

99112896 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 99112896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147328636).

99112896 is an abundant number, since it is smaller than the sum of its proper divisors (195544376).

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

99112896 is an equidigital number, since it uses as much as digits as its factorization.

99112896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6400 (or 6378 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 99112896 is about 9955.5459920589. The cubic root of 99112896 is about 462.7822806615.

The spelling of 99112896 in words is "ninety-nine million, one hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 6373 7776 12746 15552 19119 25492 38238 50984 57357 76476 101968 114714 152952 172071 203936 229428 305904 344142 407872 458856 516213 611808 688284 917712 1032426 1223616 1376568 1548639 1835424 2064852 2753136 3097278 3670848 4129704 5506272 6194556 8259408 11012544 12389112 16518816 24778224 33037632 49556448 99112896