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426874112 = 2872310357
BaseRepresentation
bin11001011100011…
…001010100000000
31002202020110012022
4121130121110000
51333234432422
6110205221012
713402240640
oct3134312400
91082213168
10426874112
111a9a60925
12bab61768
136a590842
144099c520
1527721342
hex19719500

426874112 has 72 divisors (see below), whose sum is σ = 1016244096. Its totient is φ = 174974976.

The previous prime is 426874109. The next prime is 426874141. The reversal of 426874112 is 211478624.

It is a super-3 number, since 3×4268741123 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36038 + ... + 46394.

Almost surely, 2426874112 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 426874112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508122048).

426874112 is an abundant number, since it is smaller than the sum of its proper divisors (589369984).

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

426874112 is a wasteful number, since it uses less digits than its factorization.

426874112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10403 (or 10389 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 426874112 is about 20660.9320215715. The cubic root of 426874112 is about 752.9508117946.

The spelling of 426874112 in words is "four hundred twenty-six million, eight hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 644 736 896 1288 1472 1792 2576 2944 5152 5888 10304 10357 20608 20714 41216 41428 72499 82856 144998 165712 238211 289996 331424 476422 579992 662848 952844 1159984 1325696 1667477 1905688 2319968 2651392 3334954 3811376 4639936 6669908 7622752 9279872 13339816 15245504 18559744 26679632 30491008 53359264 60982016 106718528 213437056 426874112