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99503392 = 2541149509
BaseRepresentation
bin1011110111001…
…00110100100000
320221020021222211
411323210310200
5200433102032
613512411504
72315523232
oct573446440
9227207884
1099503392
115119240a
12293a6b94
13177cb761
14d302252
158b07747
hex5ee4d20

99503392 has 48 divisors (see below), whose sum is σ = 202419000. Its totient is φ = 48117760.

The previous prime is 99503389. The next prime is 99503401. The reversal of 99503392 is 29330599.

It can be written as a sum of positive squares in 4 ways, for example, as 55890576 + 43612816 = 7476^2 + 6604^2 .

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 7 ways as a sum of consecutive naturals, for example, 195234 + ... + 195742.

Almost surely, 299503392 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 99503392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101209500).

99503392 is an abundant number, since it is smaller than the sum of its proper divisors (102915608).

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

99503392 is a wasteful number, since it uses less digits than its factorization.

99503392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 40.

The square root of 99503392 is about 9975.1386957776. The cubic root of 99503392 is about 463.3892578954.

The spelling of 99503392 in words is "ninety-nine million, five hundred three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 41 82 149 164 298 328 509 596 656 1018 1192 1312 2036 2384 4072 4768 6109 8144 12218 16288 20869 24436 41738 48872 75841 83476 97744 151682 166952 195488 303364 333904 606728 667808 1213456 2426912 3109481 6218962 12437924 24875848 49751696 99503392