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426941352 = 23321813
BaseRepresentation
bin11001011100101…
…001101110101000
31002202100212102200
4121130221232220
51333244110402
6110210500200
713402640655
oct3134515650
91082325380
10426941352
111a9aa73a2
12bab94660
136a5b5326
14409b8c2c
152773621c
hex19729ba8

426941352 has 48 divisors (see below), whose sum is σ = 1162723380. Its totient is φ = 141527520.

The previous prime is 426941351. The next prime is 426941357. The reversal of 426941352 is 253149624.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

426941352 is a `hidden beast` number, since 4 + 269 + 41 + 352 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10536516 + 416404836 = 3246^2 + 20406^2 .

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 (426941351) 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, 2358702 + ... + 2358882.

Almost surely, 2426941352 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 426941352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581361690).

426941352 is an abundant number, since it is smaller than the sum of its proper divisors (735782028).

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

426941352 is an frugal number, since it uses more digits than its factorization.

426941352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 186 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 426941352 is about 20662.5591832183. The cubic root of 426941352 is about 752.9903439448.

The spelling of 426941352 in words is "four hundred twenty-six million, nine hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 362 543 724 1086 1448 1629 2172 3258 4344 6516 13032 32761 65522 98283 131044 196566 262088 294849 393132 589698 786264 1179396 2358792 5929741 11859482 17789223 23718964 35578446 47437928 53367669 71156892 106735338 142313784 213470676 426941352