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99945536 = 26412929
BaseRepresentation
bin1011111010100…
…00110001000000
320222001202111112
411331100301000
5201041224121
613530102452
72322344255
oct575206100
9228052445
1099945536
1151464619
122957aa28
1317924a92
14d3b942c
158b9375b
hex5f50c40

99945536 has 42 divisors (see below), whose sum is σ = 203503530. Its totient is φ = 48701440.

The previous prime is 99945497. The next prime is 99945553. The reversal of 99945536 is 63554999.

It can be written as a sum of positive squares in 3 ways, for example, as 22505536 + 77440000 = 4744^2 + 8800^2 .

It is a super-2 number, since 2×999455362 = 19978220332654592, which contains 22 as substring.

Its product of digits (1312200) is a multiple of the sum of its prime divisors (972).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107120 + ... + 108048.

Almost surely, 299945536 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 99945536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101751765).

99945536 is an abundant number, since it is smaller than the sum of its proper divisors (103557994).

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

99945536 is an equidigital number, since it uses as much as digits as its factorization.

99945536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 972 counting only the distinct ones).

The product of its digits is 1312200, while the sum is 50.

The square root of 99945536 is about 9997.2764291081. The cubic root of 99945536 is about 464.0746015603.

The spelling of 99945536 in words is "ninety-nine million, nine hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 929 1312 1681 1858 2624 3362 3716 6724 7432 13448 14864 26896 29728 38089 53792 59456 76178 107584 152356 304712 609424 1218848 1561649 2437696 3123298 6246596 12493192 24986384 49972768 99945536