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89357968 = 2472293389
BaseRepresentation
bin1010101001101…
…11111010010000
320020010212002101
411110313322100
5140333423333
612511130144
72133346600
oct524677220
9206125071
1089357968
1146492a67
1225b13954
131568894b
14bc20c00
157ca167d
hex5537e90

89357968 has 60 divisors (see below), whose sum is σ = 202604220. Its totient is φ = 38067456.

The previous prime is 89357953. The next prime is 89357977. The reversal of 89357968 is 86975398.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 56731024 + 32626944 = 7532^2 + 5712^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229518 + ... + 229906.

It is an arithmetic number, because the mean of its divisors is an integer number (3376737).

Almost surely, 289357968 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 89357968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101302110).

89357968 is an abundant number, since it is smaller than the sum of its proper divisors (113246252).

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

89357968 is a wasteful number, since it uses less digits than its factorization.

89357968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 691 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 55.

The square root of 89357968 is about 9452.9343592347. The cubic root of 89357968 is about 447.0722990289.

The spelling of 89357968 in words is "eighty-nine million, three hundred fifty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 293 389 392 586 778 784 1172 1556 2051 2344 2723 3112 4102 4688 5446 6224 8204 10892 14357 16408 19061 21784 28714 32816 38122 43568 57428 76244 113977 114856 152488 227954 229712 304976 455908 797839 911816 1595678 1823632 3191356 5584873 6382712 11169746 12765424 22339492 44678984 89357968