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99082144 = 257631701
BaseRepresentation
bin1011110011111…
…01111110100000
320220102220011001
411321331332200
5200331112034
613455401344
72312120140
oct571757640
9226386131
1099082144
1150a24977
1229223254
13176b1ab5
14d232920
158a72a14
hex5e7dfa0

99082144 has 48 divisors (see below), whose sum is σ = 223606656. Its totient is φ = 42336000.

The previous prime is 99082073. The next prime is 99082153. The reversal of 99082144 is 44128099.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140994 + ... + 141694.

It is an arithmetic number, because the mean of its divisors is an integer number (4658472).

Almost surely, 299082144 is an apocalyptic number.

It is an amenable number.

99082144 is an abundant number, since it is smaller than the sum of its proper divisors (124524512).

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

99082144 is a wasteful number, since it uses less digits than its factorization.

99082144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 99082144 is about 9954.0014064697. The cubic root of 99082144 is about 462.7344128481.

The spelling of 99082144 in words is "ninety-nine million, eighty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 631 701 1262 1402 2524 2804 4417 4907 5048 5608 8834 9814 10096 11216 17668 19628 20192 22432 35336 39256 70672 78512 141344 157024 442331 884662 1769324 3096317 3538648 6192634 7077296 12385268 14154592 24770536 49541072 99082144