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81424584 = 233210111197
BaseRepresentation
bin1001101101001…
…11000011001000
312200012210112100
410312213003020
5131321041314
612025113400
72006045313
oct466470310
9180183470
1081424584
1141a6454a
1223328860
1313b3b937
14ab5797a
157235c09
hex4da70c8

81424584 has 48 divisors (see below), whose sum is σ = 222728220. Its totient is φ = 26870400.

The previous prime is 81424579. The next prime is 81424597. The reversal of 81424584 is 48542418.

It can be written as a sum of positive squares in 2 ways, for example, as 79602084 + 1822500 = 8922^2 + 1350^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1674 + ... + 12870.

Almost surely, 281424584 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 81424584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111364110).

81424584 is an abundant number, since it is smaller than the sum of its proper divisors (141303636).

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

81424584 is a wasteful number, since it uses less digits than its factorization.

81424584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11310 (or 11303 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 81424584 is about 9023.5571699857. The cubic root of 81424584 is about 433.4295491807.

The spelling of 81424584 in words is "eighty-one million, four hundred twenty-four thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 11197 22394 33591 44788 67182 89576 100773 134364 201546 268728 403092 806184 1130897 2261794 3392691 4523588 6785382 9047176 10178073 13570764 20356146 27141528 40712292 81424584