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99088896 = 293312081
BaseRepresentation
bin1011110011111…
…11101000000000
320220110020102010
411321333220000
5200331321041
613455452520
72312145624
oct571775000
9226406363
1099088896
1150a29a55
1229227140
13176b4baa
14d235184
158a74a16
hex5e7fa00

99088896 has 80 divisors (see below), whose sum is σ = 272625408. Its totient is φ = 31948800.

The previous prime is 99088889. The next prime is 99088897. The reversal of 99088896 is 69888099.

It is not an unprimeable number, because it can be changed into a prime (99088897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46576 + ... + 48656.

Almost surely, 299088896 is an apocalyptic number.

99088896 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 99088896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136312704).

99088896 is an abundant number, since it is smaller than the sum of its proper divisors (173536512).

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

99088896 is a wasteful number, since it uses less digits than its factorization.

99088896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 57.

The square root of 99088896 is about 9954.3405607805. The cubic root of 99088896 is about 462.7449236951.

The spelling of 99088896 in words is "ninety-nine million, eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1488 1536 1984 2081 2976 3968 4162 5952 6243 7936 8324 11904 12486 15872 16648 23808 24972 33296 47616 49944 64511 66592 99888 129022 133184 193533 199776 258044 266368 387066 399552 516088 532736 774132 799104 1032176 1065472 1548264 1598208 2064352 3096528 3196416 4128704 6193056 8257408 12386112 16514816 24772224 33029632 49544448 99088896