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98985168 = 2432687397
BaseRepresentation
bin1011110011001…
…10010011010000
320220020222010100
411321212103100
5200320011133
613453332400
72311234332
oct571462320
9226228110
1098985168
1150969027
1229197100
1317679909
14d209452
158a53e13
hex5e664d0

98985168 has 30 divisors (see below), whose sum is σ = 277021394. Its totient is φ = 32995008.

The previous prime is 98985167. The next prime is 98985179. The reversal of 98985168 is 86158989.

It can be written as a sum of positive squares in only one way, i.e., 92390544 + 6594624 = 9612^2 + 2568^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98985167) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 343555 + ... + 343842.

Almost surely, 298985168 is an apocalyptic number.

It is an amenable number.

98985168 is an abundant number, since it is smaller than the sum of its proper divisors (178036226).

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

98985168 is a wasteful number, since it uses less digits than its factorization.

98985168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687411 (or 687402 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 54.

The square root of 98985168 is about 9949.1290071041. The cubic root of 98985168 is about 462.5833974762.

The spelling of 98985168 in words is "ninety-eight million, nine hundred eighty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 687397 1374794 2062191 2749588 4124382 5499176 6186573 8248764 10998352 12373146 16497528 24746292 32995056 49492584 98985168