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90832 = 247811
BaseRepresentation
bin10110001011010000
311121121011
4112023100
510401312
61540304
7525550
oct261320
9147534
1090832
1162275
1244694
1332461
1425160
151bda7
hex162d0

90832 has 20 divisors (see below), whose sum is σ = 201376. Its totient is φ = 38880.

The previous prime is 90823. The next prime is 90833. The reversal of 90832 is 23809.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90833) by changing a digit.

90832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 294 + ... + 517.

290832 is an apocalyptic number.

It is an amenable number.

90832 is an abundant number, since it is smaller than the sum of its proper divisors (110544).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100688).

90832 is a wasteful number, since it uses less digits than its factorization.

90832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 90832 is about 301.3834766539. The cubic root of 90832 is about 44.9517177620.

The spelling of 90832 in words is "ninety thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 811 1622 3244 5677 6488 11354 12976 22708 45416 90832