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826147420 = 225726921937
BaseRepresentation
bin110001001111100…
…000001001011100
32010120112122012121
4301033200021130
53142443204140
6213551112324
726321065030
oct6117401134
92116478177
10826147420
1139437a86a
121b08126a4
13102209437
147ba141c0
154c7de64a
hex313e025c

826147420 has 48 divisors (see below), whose sum is σ = 1990215360. Its totient is φ = 282184704.

The previous prime is 826147393. The next prime is 826147459. The reversal of 826147420 is 24741628.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 26692 + ... + 48628.

It is an arithmetic number, because the mean of its divisors is an integer number (41462820).

Almost surely, 2826147420 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 826147420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995107680).

826147420 is an abundant number, since it is smaller than the sum of its proper divisors (1164067940).

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

826147420 is a wasteful number, since it uses less digits than its factorization.

826147420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22222 (or 22220 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 826147420 is about 28742.7803108885. The cubic root of 826147420 is about 938.3233352635.

The spelling of 826147420 in words is "eight hundred twenty-six million, one hundred forty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 269 538 1076 1345 1883 2690 3766 5380 7532 9415 18830 21937 37660 43874 87748 109685 153559 219370 307118 438740 614236 767795 1535590 3071180 5901053 11802106 23604212 29505265 41307371 59010530 82614742 118021060 165229484 206536855 413073710 826147420