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89111232 = 2633753139
BaseRepresentation
bin1010100111110…
…11101011000000
320012200022122000
411103323223000
5140303024412
612501544000
72131301340
oct523735300
9205608560
1089111232
1146334651
1225a15000
1315600552
14bb98d20
157c534dc
hex54fbac0

89111232 has 224 divisors, whose sum is σ = 307238400. Its totient is φ = 24800256.

The previous prime is 89111227. The next prime is 89111251. The reversal of 89111232 is 23211198.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 89111196 and 89111205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641019 + ... + 641157.

It is an arithmetic number, because the mean of its divisors is an integer number (1371600).

Almost surely, 289111232 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 89111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153619200).

89111232 is an abundant number, since it is smaller than the sum of its proper divisors (218127168).

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

89111232 is a wasteful number, since it uses less digits than its factorization.

89111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 89111232 is about 9439.8745754380. The cubic root of 89111232 is about 446.6604330706.

The spelling of 89111232 in words is "eighty-nine million, one hundred eleven thousand, two hundred thirty-two".