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99737768 = 23131934969
BaseRepresentation
bin1011111000111…
…10000010101000
320221200012111102
411330132002220
5201013102033
613521420532
72320520444
oct574360250
9227605442
1099737768
1151332509
122949a748
1317881340
14d363824
158b51de8
hex5f1e0a8

99737768 has 32 divisors (see below), whose sum is σ = 202477800. Its totient is φ = 45785088.

The previous prime is 99737749. The next prime is 99737779. The reversal of 99737768 is 86773799.

It can be written as a sum of positive squares in 4 ways, for example, as 40170244 + 59567524 = 6338^2 + 7718^2 .

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, 17588 + ... + 22556.

Almost surely, 299737768 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 99737768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101238900).

99737768 is an abundant number, since it is smaller than the sum of its proper divisors (102740032).

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

99737768 is a wasteful number, since it uses less digits than its factorization.

99737768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5181 (or 5177 counting only the distinct ones).

The product of its digits is 4000752, while the sum is 56.

The square root of 99737768 is about 9986.8797930084. The cubic root of 99737768 is about 463.7528038230.

The spelling of 99737768 in words is "ninety-nine million, seven hundred thirty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 193 386 772 1544 2509 4969 5018 9938 10036 19876 20072 39752 64597 129194 258388 516776 959017 1918034 3836068 7672136 12467221 24934442 49868884 99737768