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99803152 = 242927417
BaseRepresentation
bin1011111001011…
…10000000010000
320221210112012001
411330232000100
5201022200102
613523043344
72321212201
oct574560020
9227715161
1099803152
1151377649
1229510554
13178a5027
14d37d5a8
158b66487
hex5f2e010

99803152 has 30 divisors (see below), whose sum is σ = 200293418. Its totient is φ = 48174336.

The previous prime is 99803147. The next prime is 99803153. The reversal of 99803152 is 25130899.

It can be written as a sum of positive squares in 3 ways, for example, as 30647296 + 69155856 = 5536^2 + 8316^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99803153) by changing a digit.

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, 9748 + ... + 17164.

Almost surely, 299803152 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 99803152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100146709).

99803152 is an abundant number, since it is smaller than the sum of its proper divisors (100490266).

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

99803152 is a wasteful number, since it uses less digits than its factorization.

99803152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7483 (or 7448 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 99803152 is about 9990.1527515849. The cubic root of 99803152 is about 463.8541208078.

It can be divided in two parts, 9 and 9803152, that added together give a square (9803161 = 31312).

The spelling of 99803152 in words is "ninety-nine million, eight hundred three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 6728 7417 13456 14834 29668 59336 118672 215093 430186 860372 1720744 3441488 6237697 12475394 24950788 49901576 99803152