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99892152 = 23329714303
BaseRepresentation
bin1011111010000…
…11101110111000
320221222001021100
411331003232320
5201033022102
613525011400
72322032523
oct575035670
9227861240
1099892152
11514284a8
1229553b60
13179066a9
14d3a3bba
158b82a1c
hex5f43bb8

99892152 has 48 divisors (see below), whose sum is σ = 273349440. Its totient is φ = 32951808.

The previous prime is 99892147. The next prime is 99892171. The reversal of 99892152 is 25129899.

It is a super-2 number, since 2×998921522 = 19956884062382208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 99892098 and 99892107.

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, 168 + ... + 14135.

It is an arithmetic number, because the mean of its divisors is an integer number (5694780).

Almost surely, 299892152 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 99892152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136674720).

99892152 is an abundant number, since it is smaller than the sum of its proper divisors (173457288).

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

99892152 is a wasteful number, since it uses less digits than its factorization.

99892152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14412 (or 14405 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 99892152 is about 9994.6061453166. The cubic root of 99892152 is about 463.9919613154.

The spelling of 99892152 in words is "ninety-nine million, eight hundred ninety-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6984 14303 28606 42909 57212 85818 114424 128727 171636 257454 343272 514908 1029816 1387391 2774782 4162173 5549564 8324346 11099128 12486519 16648692 24973038 33297384 49946076 99892152