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89738768 = 2472233593
BaseRepresentation
bin1010101100101…
…00111000010000
320020212012110002
411112110320100
5140433120033
612523225132
72136524030
oct526247020
9206765402
1089738768
1146723079
12260781a8
1315790082
14bcbd8c0
157d293e8
hex5594e10

89738768 has 40 divisors (see below), whose sum is σ = 199653888. Its totient is φ = 38276352.

The previous prime is 89738749. The next prime is 89738777. The reversal of 89738768 is 86783798.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 7 ways as a sum of consecutive naturals, for example, 23180 + ... + 26772.

Almost surely, 289738768 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 89738768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99826944).

89738768 is an abundant number, since it is smaller than the sum of its proper divisors (109915120).

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

89738768 is a wasteful number, since it uses less digits than its factorization.

89738768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3825 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 56.

The square root of 89738768 is about 9473.0548399130. The cubic root of 89738768 is about 447.7064669431.

The spelling of 89738768 in words is "eighty-nine million, seven hundred thirty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 223 446 892 1561 1784 3122 3568 3593 6244 7186 12488 14372 24976 25151 28744 50302 57488 100604 201208 402416 801239 1602478 3204956 5608673 6409912 11217346 12819824 22434692 44869384 89738768