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99938976 = 2534125391
BaseRepresentation
bin1011111010011…
…11001010100000
320222001102111120
411331033022200
5201041021401
613530012240
72322316164
oct575171240
9228042446
1099938976
115145a6a5
1229577080
1317921ab7
14d3b6ca4
158b91836
hex5f4f2a0

99938976 has 48 divisors (see below), whose sum is σ = 268748928. Its totient is φ = 32499200.

The previous prime is 99938953. The next prime is 99938977. The reversal of 99938976 is 67983999.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (99938977) 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, 8760 + ... + 16631.

It is an arithmetic number, because the mean of its divisors is an integer number (5598936).

Almost surely, 299938976 is an apocalyptic number.

99938976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

99938976 is an abundant number, since it is smaller than the sum of its proper divisors (168809952).

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

99938976 is a wasteful number, since it uses less digits than its factorization.

99938976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25445 (or 25437 counting only the distinct ones).

The product of its digits is 6613488, while the sum is 60.

The square root of 99938976 is about 9996.9483343668. The cubic root of 99938976 is about 464.0644480436.

The spelling of 99938976 in words is "ninety-nine million, nine hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 25391 50782 76173 101564 152346 203128 304692 406256 609384 812512 1041031 1218768 2082062 2437536 3123093 4164124 6246186 8328248 12492372 16656496 24984744 33312992 49969488 99938976