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89037072 = 24322632351
BaseRepresentation
bin1010100111010…
…01100100010000
320012112112220100
411103221210100
5140243141242
612500212400
72130542205
oct523514420
9205475810
1089037072
1146293963
122599a100
13155a5877
14bb79cac
157c3b54c
hex54e9910

89037072 has 60 divisors (see below), whose sum is σ = 250233984. Its totient is φ = 29553600.

The previous prime is 89037031. The next prime is 89037073. The reversal of 89037072 is 27073098.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (89037073) 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 11 ways as a sum of consecutive naturals, for example, 36697 + ... + 39047.

Almost surely, 289037072 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 89037072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125116992).

89037072 is an abundant number, since it is smaller than the sum of its proper divisors (161196912).

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

89037072 is a wasteful number, since it uses less digits than its factorization.

89037072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 89037072 is about 9435.9457395642. The cubic root of 89037072 is about 446.5364923502.

The spelling of 89037072 in words is "eighty-nine million, thirty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 263 526 789 1052 1578 2104 2351 2367 3156 4208 4702 4734 6312 7053 9404 9468 12624 14106 18808 18936 21159 28212 37616 37872 42318 56424 84636 112848 169272 338544 618313 1236626 1854939 2473252 3709878 4946504 5564817 7419756 9893008 11129634 14839512 22259268 29679024 44518536 89037072