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99000896 = 2629411301
BaseRepresentation
bin1011110011010…
…10001001000000
320220021202200212
411321222021000
5200321012041
613453533252
72311331231
oct571521100
9226252625
1099000896
1150979925
12291a4228
1317683b17
14d211088
158a588eb
hex5e6a240

99000896 has 56 divisors (see below), whose sum is σ = 208346040. Its totient is φ = 46592000.

The previous prime is 99000893. The next prime is 99000917. The reversal of 99000896 is 69800099.

It can be written as a sum of positive squares in 4 ways, for example, as 6071296 + 92929600 = 2464^2 + 9640^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99000893) 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 7 ways as a sum of consecutive naturals, for example, 75446 + ... + 76746.

It is an arithmetic number, because the mean of its divisors is an integer number (3720465).

Almost surely, 299000896 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 99000896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104173020).

99000896 is an abundant number, since it is smaller than the sum of its proper divisors (109345144).

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

99000896 is a wasteful number, since it uses less digits than its factorization.

99000896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 41.

The square root of 99000896 is about 9949.9193966584. The cubic root of 99000896 is about 462.6078965216.

The spelling of 99000896 in words is "ninety-nine million, eight hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 164 232 328 464 656 928 1189 1301 1312 1856 2378 2602 2624 4756 5204 9512 10408 19024 20816 37729 38048 41632 53341 75458 76096 83264 106682 150916 213364 301832 426728 603664 853456 1207328 1546889 1706912 2414656 3093778 3413824 6187556 12375112 24750224 49500448 99000896