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99000288 = 25321731987
BaseRepresentation
bin1011110011010…
…01111111100000
320220021201212100
411321221333200
5200321002123
613453530400
72311326402
oct571517740
9226251770
1099000288
1150979422
12291a3a00
131768376a
14d210b72
158a58643
hex5e69fe0

99000288 has 72 divisors (see below), whose sum is σ = 283301928. Its totient is φ = 32792832.

The previous prime is 99000263. The next prime is 99000313. The reversal of 99000288 is 88200099.

It is an interprime number because it is at equal distance from previous prime (99000263) and next prime (99000313).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48831 + ... + 50817.

It is an arithmetic number, because the mean of its divisors is an integer number (3934749).

Almost surely, 299000288 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 99000288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141650964).

99000288 is an abundant number, since it is smaller than the sum of its proper divisors (184301640).

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

99000288 is a wasteful number, since it uses less digits than its factorization.

99000288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 99000288 is about 9949.8888436002. Note that the first 4 decimals coincide. The cubic root of 99000288 is about 462.6069495060.

The spelling of 99000288 in words is "ninety-nine million, two hundred eighty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 173 288 346 519 692 1038 1384 1557 1987 2076 2768 3114 3974 4152 5536 5961 6228 7948 8304 11922 12456 15896 16608 17883 23844 24912 31792 35766 47688 49824 63584 71532 95376 143064 190752 286128 343751 572256 687502 1031253 1375004 2062506 2750008 3093759 4125012 5500016 6187518 8250024 11000032 12375036 16500048 24750072 33000096 49500144 99000288