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426167112 = 233721919073
BaseRepresentation
bin11001011001101…
…100101101001000
31002200220112101010
4121121230231020
51333044321422
6110142123520
713363234500
oct3131545510
91080815333
10426167112
111a9618728
12ba8805a0
136a3a3ab7
1440856a00
1527631b0c
hex1966cb48

426167112 has 96 divisors (see below), whose sum is σ = 1304661600. Its totient is φ = 115347456.

The previous prime is 426167111. The next prime is 426167123. The reversal of 426167112 is 211761624.

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 426167112.

It is not an unprimeable number, because it can be changed into a prime (426167111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12808 + ... + 31880.

It is an arithmetic number, because the mean of its divisors is an integer number (13590225).

Almost surely, 2426167112 is an apocalyptic number.

426167112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426167112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652330800).

426167112 is an abundant number, since it is smaller than the sum of its proper divisors (878494488).

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

426167112 is a wasteful number, since it uses less digits than its factorization.

426167112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19115 (or 19104 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 426167112 is about 20643.8153450374. The cubic root of 426167112 is about 752.5348965248.

The spelling of 426167112 in words is "four hundred twenty-six million, one hundred sixty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 392 399 456 532 588 798 931 1064 1176 1596 1862 2793 3192 3724 5586 7448 11172 19073 22344 38146 57219 76292 114438 133511 152584 228876 267022 362387 400533 457752 534044 724774 801066 934577 1068088 1087161 1449548 1602132 1869154 2174322 2536709 2803731 2899096 3204264 3738308 4348644 5073418 5607462 7476616 7610127 8697288 10146836 11214924 15220254 17756963 20293672 22429848 30440508 35513926 53270889 60881016 71027852 106541778 142055704 213083556 426167112