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89160032 = 2513792713
BaseRepresentation
bin1010101000001…
…11100101100000
320012202210120102
411110013211200
5140311110112
612503001532
72131563533
oct524074540
9205683512
1089160032
1146368285
1225a392a8
1315619820
14bbaca1a
157c62bc2
hex5507960

89160032 has 48 divisors (see below), whose sum is σ = 191499840. Its totient is φ = 40614912.

The previous prime is 89160023. The next prime is 89160037. The reversal of 89160032 is 23006198.

It is a super-2 number, since 2×891600322 = 15899022612482048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 89159977 and 89160004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89160037) 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 7 ways as a sum of consecutive naturals, for example, 31508 + ... + 34220.

It is an arithmetic number, because the mean of its divisors is an integer number (3989580).

Almost surely, 289160032 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 89160032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95749920).

89160032 is an abundant number, since it is smaller than the sum of its proper divisors (102339808).

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

89160032 is a wasteful number, since it uses less digits than its factorization.

With its successor (89160033) it forms an eRAP, since the sums of their prime factors are consecutive (2815 and 2816).

89160032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 89160032 is about 9442.4590017643. The cubic root of 89160032 is about 446.7419531026.

The spelling of 89160032 in words is "eighty-nine million, one hundred sixty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 79 104 158 208 316 416 632 1027 1264 2054 2528 2713 4108 5426 8216 10852 16432 21704 32864 35269 43408 70538 86816 141076 214327 282152 428654 564304 857308 1128608 1714616 2786251 3429232 5572502 6858464 11145004 22290008 44580016 89160032