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99746964 = 2234319931
BaseRepresentation
bin1011111001000…
…00010010010100
320221200200010000
411330200102110
5201013400324
613521531300
72320556322
oct574402224
9227620100
1099746964
1151339409
12294a3b30
1317885595
14d366d12
158b549c9
hex5f20494

99746964 has 60 divisors (see below), whose sum is σ = 269196928. Its totient is φ = 32173200.

The previous prime is 99746963. The next prime is 99746989. The reversal of 99746964 is 46964799.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 99746964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99746963) 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 19 ways as a sum of consecutive naturals, for example, 5079 + ... + 15009.

Almost surely, 299746964 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 99746964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134598464).

99746964 is an abundant number, since it is smaller than the sum of its proper divisors (169449964).

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

99746964 is a wasteful number, since it uses less digits than its factorization.

99746964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9978 (or 9967 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 99746964 is about 9987.3401864561. The cubic root of 99746964 is about 463.7670563300.

It can be divided in two parts, 997 and 46964, that added together give a square (47961 = 2192).

The spelling of 99746964 in words is "ninety-nine million, seven hundred forty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1116 1674 2511 3348 5022 9931 10044 19862 29793 39724 59586 89379 119172 178758 268137 307861 357516 536274 615722 804411 923583 1072548 1231444 1608822 1847166 2770749 3217644 3694332 5541498 8312247 11082996 16624494 24936741 33248988 49873482 99746964