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80853732 = 223237101601
BaseRepresentation
bin1001101000110…
…11101011100100
312122010210110200
410310123223210
5131144304412
612004550500
72001150111
oct464335344
9178123420
1080853732
1141704673
12230b2430
131399bb5b
14aa49908
1571719dc
hex4d1bae4

80853732 has 72 divisors (see below), whose sum is σ = 212335032. Its totient is φ = 25920000.

The previous prime is 80853727. The next prime is 80853733. The reversal of 80853732 is 23735808.

It can be written as a sum of positive squares in 4 ways, for example, as 64256256 + 16597476 = 8016^2 + 4074^2 .

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 (80853733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134232 + ... + 134832.

Almost surely, 280853732 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 80853732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106167516).

80853732 is an abundant number, since it is smaller than the sum of its proper divisors (131481300).

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

80853732 is a wasteful number, since it uses less digits than its factorization.

80853732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 80853732 is about 8991.8703282465. The cubic root of 80853732 is about 432.4142759478.

The spelling of 80853732 in words is "eighty million, eight hundred fifty-three thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 101 111 148 202 222 303 333 404 444 601 606 666 909 1202 1212 1332 1803 1818 2404 3606 3636 3737 5409 7212 7474 10818 11211 14948 21636 22237 22422 33633 44474 44844 60701 66711 67266 88948 121402 133422 134532 182103 200133 242804 266844 364206 400266 546309 728412 800532 1092618 2185236 2245937 4491874 6737811 8983748 13475622 20213433 26951244 40426866 80853732