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99963528 = 23372167509
BaseRepresentation
bin1011111010101…
…01001010001000
320222002200011220
411331111022020
5201042313103
613530322040
72322450600
oct575251210
9228080156
1099963528
1151477095
1229589320
1317930022
14d3c1c00
158b98c53
hex5f55288

99963528 has 96 divisors (see below), whose sum is σ = 293025600. Its totient is φ = 28334208.

The previous prime is 99963517. The next prime is 99963533. The reversal of 99963528 is 82536999.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 196138 + ... + 196646.

It is an arithmetic number, because the mean of its divisors is an integer number (3052350).

Almost surely, 299963528 is an apocalyptic number.

99963528 is a gapful number since it is divisible by the number (98) 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 99963528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146512800).

99963528 is an abundant number, since it is smaller than the sum of its proper divisors (193062072).

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

99963528 is a wasteful number, since it uses less digits than its factorization.

99963528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 688 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 51.

The square root of 99963528 is about 9998.1762336938. The cubic root of 99963528 is about 464.1024471569.

The spelling of 99963528 in words is "ninety-nine million, nine hundred sixty-three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 167 168 196 294 334 392 501 509 588 668 1002 1018 1169 1176 1336 1527 2004 2036 2338 3054 3507 3563 4008 4072 4676 6108 7014 7126 8183 9352 10689 12216 14028 14252 16366 21378 24549 24941 28056 28504 32732 42756 49098 49882 65464 74823 85003 85512 98196 99764 149646 170006 196392 199528 255009 299292 340012 510018 595021 598584 680024 1020036 1190042 1785063 2040072 2380084 3570126 4165147 4760168 7140252 8330294 12495441 14280504 16660588 24990882 33321176 49981764 99963528