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99468928 = 2713232113
BaseRepresentation
bin1011110110111…
…00011010000000
320221011112201101
411323130122000
5200431001203
613511544144
72315320606
oct573343200
9227145641
1099468928
1151169529
122938b054
13177b8b70
14d2d3876
158aec41d
hex5edc680

99468928 has 96 divisors (see below), whose sum is σ = 225059940. Its totient is φ = 43524096.

The previous prime is 99468917. The next prime is 99468961. The reversal of 99468928 is 82986499.

It can be written as a sum of positive squares in 2 ways, for example, as 74787904 + 24681024 = 8648^2 + 4968^2 .

It is an unprimeable number.

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, 880200 + ... + 880312.

Almost surely, 299468928 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 99468928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112529970).

99468928 is an abundant number, since it is smaller than the sum of its proper divisors (125591012).

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

99468928 is a wasteful number, since it uses less digits than its factorization.

99468928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 151 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 55.

The square root of 99468928 is about 9973.4110513906. The cubic root of 99468928 is about 463.3357518751.

The spelling of 99468928 in words is "ninety-nine million, four hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 113 128 184 208 226 299 368 416 452 529 598 736 832 904 1058 1196 1469 1472 1664 1808 2116 2392 2599 2938 2944 3616 4232 4784 5198 5876 6877 7232 8464 9568 10396 11752 13754 14464 16928 19136 20792 23504 27508 33787 33856 38272 41584 47008 55016 59777 67574 67712 83168 94016 110032 119554 135148 166336 188032 220064 239108 270296 332672 440128 478216 540592 777101 880256 956432 1081184 1554202 1912864 2162368 3108404 3825728 4324736 6216808 7651456 12433616 24867232 49734464 99468928