Search a number
-
+
89322792 = 23313674273
BaseRepresentation
bin1010101001011…
…11010100101000
320020002001211120
411110233110220
5140331312132
612510255240
72133142206
oct524572450
9206061746
1089322792
1146469599
1225ab7520
1315675930
14bc12076
157c9602c
hex552f528

89322792 has 64 divisors (see below), whose sum is σ = 244130880. Its totient is φ = 27067392.

The previous prime is 89322791. The next prime is 89322797. The reversal of 89322792 is 29722398.

It is a super-2 number, since 2×893227922 = 15957122341350528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (89322791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18768 + ... + 23040.

It is an arithmetic number, because the mean of its divisors is an integer number (3814545).

Almost surely, 289322792 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 89322792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122065440).

89322792 is an abundant number, since it is smaller than the sum of its proper divisors (154808088).

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

89322792 is a wasteful number, since it uses less digits than its factorization.

89322792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4362 (or 4358 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 89322792 is about 9451.0735898098. The cubic root of 89322792 is about 447.0136275993.

The spelling of 89322792 in words is "eighty-nine million, three hundred twenty-two thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 78 104 134 156 201 268 312 402 536 804 871 1608 1742 2613 3484 4273 5226 6968 8546 10452 12819 17092 20904 25638 34184 51276 55549 102552 111098 166647 222196 286291 333294 444392 572582 666588 858873 1145164 1333176 1717746 2290328 3435492 3721783 6870984 7443566 11165349 14887132 22330698 29774264 44661396 89322792