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99968576 = 2619229359
BaseRepresentation
bin1011111010101…
…10011001000000
320222002221002212
411331112121000
5201042443301
613530401252
72322501401
oct575263100
9228087085
1099968576
115147a964
1229590228
1317932406
14d3c39a8
158b9a4bb
hex5f56640

99968576 has 56 divisors (see below), whose sum is σ = 210312000. Its totient is φ = 47015424.

The previous prime is 99968567. The next prime is 99968579. The reversal of 99968576 is 67586999.

It is not an unprimeable number, because it can be changed into a prime (99968579) 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 7 ways as a sum of consecutive naturals, for example, 278285 + ... + 278643.

Almost surely, 299968576 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 99968576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105156000).

99968576 is an abundant number, since it is smaller than the sum of its proper divisors (110343424).

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

99968576 is a wasteful number, since it uses less digits than its factorization.

99968576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 609 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 59.

The square root of 99968576 is about 9998.4286765471. The cubic root of 99968576 is about 464.1102591719.

The spelling of 99968576 in words is "ninety-nine million, nine hundred sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 229 304 359 458 608 718 916 1216 1436 1832 2872 3664 4351 5744 6821 7328 8702 11488 13642 14656 17404 22976 27284 34808 54568 69616 82211 109136 139232 164422 218272 278464 328844 436544 657688 1315376 1562009 2630752 3124018 5261504 6248036 12496072 24992144 49984288 99968576