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89141376 = 2732310093
BaseRepresentation
bin1010101000000…
…11000010000000
320012201211222110
411110003002000
5140310011001
612502335320
72131455252
oct524030200
9205654873
1089141376
1146355265
1225a2a540
131561119c
14bba5cd2
157c5c3d6
hex5503080

89141376 has 64 divisors (see below), whose sum is σ = 247101120. Its totient is φ = 28419072.

The previous prime is 89141363. The next prime is 89141401. The reversal of 89141376 is 67314198.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3786 + ... + 13878.

It is an arithmetic number, because the mean of its divisors is an integer number (3860955).

Almost surely, 289141376 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 89141376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123550560).

89141376 is an abundant number, since it is smaller than the sum of its proper divisors (157959744).

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

89141376 is a wasteful number, since it uses less digits than its factorization.

89141376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10133 (or 10121 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 89141376 is about 9441.4710718193. The cubic root of 89141376 is about 446.7107919082.

The spelling of 89141376 in words is "eighty-nine million, one hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 10093 20186 30279 40372 60558 80744 121116 161488 232139 242232 322976 464278 484464 645952 696417 928556 968928 1291904 1392834 1857112 1937856 2785668 3714224 3875712 5571336 7428448 11142672 14856896 22285344 29713792 44570688 89141376