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426234432 = 26313170767
BaseRepresentation
bin11001011001111…
…101001001000000
31002201000221201110
4121121331021000
51333104000212
6110143403320
713363634661
oct3131751100
91081027643
10426234432
111a9664268
12ba8b3540
136a3c8630
1440873368
1527646a3c
hex1967d240

426234432 has 56 divisors (see below), whose sum is σ = 1214502016. Its totient is φ = 131148288.

The previous prime is 426234409. The next prime is 426234437. The reversal of 426234432 is 234432624.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 426234432.

It is not an unprimeable number, because it can be changed into a prime (426234437) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 82888 + ... + 87879.

It is an arithmetic number, because the mean of its divisors is an integer number (21687536).

Almost surely, 2426234432 is an apocalyptic number.

It is an amenable number.

426234432 is an abundant number, since it is smaller than the sum of its proper divisors (788267584).

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

426234432 is a wasteful number, since it uses less digits than its factorization.

426234432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170795 (or 170785 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 426234432 is about 20645.4457932010. The cubic root of 426234432 is about 752.5745194650.

The spelling of 426234432 in words is "four hundred twenty-six million, two hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 170767 341534 512301 683068 1024602 1366136 2049204 2219971 2732272 4098408 4439942 5464544 6659913 8196816 8879884 10929088 13319826 16393632 17759768 26639652 32787264 35519536 53279304 71039072 106558608 142078144 213117216 426234432