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99998016 = 2634112703
BaseRepresentation
bin1011111010111…
…01100101000000
320222011102111020
411331131211000
5201044414031
613531145440
72322653256
oct575354500
9228142436
1099998016
115149aa98
12295a5280
1317942931
14d3d05d6
158ba4096
hex5f5d940

99998016 has 56 divisors (see below), whose sum is σ = 271052544. Its totient is φ = 32517120.

The previous prime is 99997981. The next prime is 99998021. The reversal of 99998016 is 61089999.

It is a self number, because there is not a number n which added to its sum of digits gives 99998016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1521 + ... + 14223.

It is an arithmetic number, because the mean of its divisors is an integer number (4840224).

Almost surely, 299998016 is an apocalyptic number.

99998016 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 99998016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135526272).

99998016 is an abundant number, since it is smaller than the sum of its proper divisors (171054528).

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

99998016 is a wasteful number, since it uses less digits than its factorization.

99998016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12759 (or 12749 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 51.

The square root of 99998016 is about 9999.9007995080. The cubic root of 99998016 is about 464.1558137036.

The spelling of 99998016 in words is "ninety-nine million, nine hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 7872 12703 25406 38109 50812 76218 101624 152436 203248 304872 406496 520823 609744 812992 1041646 1219488 1562469 2083292 2438976 3124938 4166584 6249876 8333168 12499752 16666336 24999504 33332672 49999008 99998016