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426797424 = 243712197
BaseRepresentation
bin11001011100000…
…110100101110000
31002202002120000000
4121130012211300
51333230004144
6110203430000
713401501234
oct3134064560
91082076000
10426797424
111a9a09249
12bab25300
136a564971
144097c5c4
1527708769
hex19706970

426797424 has 80 divisors (see below), whose sum is σ = 1240292640. Its totient is φ = 142254144.

The previous prime is 426797389. The next prime is 426797431. The reversal of 426797424 is 424797624.

It is a super-2 number, since 2×4267974242 = 364312082266071552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 426797424.

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, 28894 + ... + 41090.

It is an arithmetic number, because the mean of its divisors is an integer number (15503658).

Almost surely, 2426797424 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 426797424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620146320).

426797424 is an abundant number, since it is smaller than the sum of its proper divisors (813495216).

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

426797424 is an equidigital number, since it uses as much as digits as its factorization.

426797424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12226 (or 12202 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 426797424 is about 20659.0760684015. The cubic root of 426797424 is about 752.9057198511.

The spelling of 426797424 in words is "four hundred twenty-six million, seven hundred ninety-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 8748 11664 12197 17496 24394 34992 36591 48788 73182 97576 109773 146364 195152 219546 292728 329319 439092 585456 658638 878184 987957 1317276 1756368 1975914 2634552 2963871 3951828 5269104 5927742 7903656 8891613 11855484 15807312 17783226 23710968 26674839 35566452 47421936 53349678 71132904 106699356 142265808 213398712 426797424