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99402768 = 24331092111
BaseRepresentation
bin1011110110011…
…00010000010000
320221001011222000
411323030100100
5200421342033
613510314000
72314623663
oct573142020
9227034860
1099402768
1151123853
1229358900
1317794a0a
14d2b76da
158ad7a13
hex5ecc410

99402768 has 80 divisors (see below), whose sum is σ = 288076800. Its totient is φ = 32814720.

The previous prime is 99402767. The next prime is 99402829. The reversal of 99402768 is 86720499.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (99402761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46033 + ... + 48143.

It is an arithmetic number, because the mean of its divisors is an integer number (3600960).

Almost surely, 299402768 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 99402768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144038400).

99402768 is an abundant number, since it is smaller than the sum of its proper divisors (188674032).

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

99402768 is a wasteful number, since it uses less digits than its factorization.

99402768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 99402768 is about 9970.0936806030. The cubic root of 99402768 is about 463.2330025614.

The spelling of 99402768 in words is "ninety-nine million, four hundred two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 109 144 216 218 327 432 436 654 872 981 1308 1744 1962 2111 2616 2943 3924 4222 5232 5886 6333 7848 8444 11772 12666 15696 16888 18999 23544 25332 33776 37998 47088 50664 56997 75996 101328 113994 151992 227988 230099 303984 455976 460198 690297 911952 920396 1380594 1840792 2070891 2761188 3681584 4141782 5522376 6212673 8283564 11044752 12425346 16567128 24850692 33134256 49701384 99402768