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80241224 = 23721712041
BaseRepresentation
bin1001100100001…
…10001001001000
312120222200021012
410302012021020
5131020204344
611543503052
71663016300
oct462061110
9176880235
1080241224
1141326468
1222a57a88
131381611b
14a92a600
1570a029e
hex4c86248

80241224 has 48 divisors (see below), whose sum is σ = 185326380. Its totient is φ = 32363520.

The previous prime is 80241211. The next prime is 80241229. The reversal of 80241224 is 42214208.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 76562500 + 3678724 = 8750^2 + 1918^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 80241224.

It is not an unprimeable number, because it can be changed into a prime (80241229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 644 + ... + 12684.

Almost surely, 280241224 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 80241224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92663190).

80241224 is an abundant number, since it is smaller than the sum of its proper divisors (105085156).

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

80241224 is a wasteful number, since it uses less digits than its factorization.

80241224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12078 (or 12067 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 80241224 is about 8957.7465916379. The cubic root of 80241224 is about 431.3195879023.

The spelling of 80241224 in words is "eighty million, two hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1666 3332 6664 12041 24082 48164 84287 96328 168574 204697 337148 409394 590009 674296 818788 1180018 1432879 1637576 2360036 2865758 4720072 5731516 10030153 11463032 20060306 40120612 80241224