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426422736 = 24325359947
BaseRepresentation
bin11001011010101…
…011000111010000
31002201101112000200
4121122223013100
51333131011421
6110151415200
713365350655
oct3132530720
91081345020
10426422736
111a9782793
12ba984500
136a46325c
14408c1c2c
1527682726
hex196ab1d0

426422736 has 120 divisors (see below), whose sum is σ = 1237822560. Its totient is φ = 136950528.

The previous prime is 426422729. The next prime is 426422741. The reversal of 426422736 is 637224624.

426422736 is a `hidden beast` number, since 4 + 2 + 642 + 2 + 7 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 426422736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449815 + ... + 450761.

It is an arithmetic number, because the mean of its divisors is an integer number (10315188).

Almost surely, 2426422736 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 426422736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618911280).

426422736 is an abundant number, since it is smaller than the sum of its proper divisors (811399824).

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

426422736 is a wasteful number, since it uses less digits than its factorization.

426422736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1064 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 426422736 is about 20650.0057142849. The cubic root of 426422736 is about 752.6853285393.

It can be divided in two parts, 4264 and 22736, that added together give a cube (27000 = 303).

The spelling of 426422736 in words is "four hundred twenty-six million, four hundred twenty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 59 72 106 118 144 159 177 212 236 318 354 424 472 477 531 636 708 848 944 947 954 1062 1272 1416 1894 1908 2124 2544 2832 2841 3127 3788 3816 4248 5682 6254 7576 7632 8496 8523 9381 11364 12508 15152 17046 18762 22728 25016 28143 34092 37524 45456 50032 50191 55873 56286 68184 75048 100382 111746 112572 136368 150096 150573 167619 200764 223492 225144 301146 335238 401528 446984 450288 451719 502857 602292 670476 803056 893968 903438 1005714 1204584 1340952 1806876 2011428 2409168 2681904 2961269 3613752 4022856 5922538 7227504 8045712 8883807 11845076 17767614 23690152 26651421 35535228 47380304 53302842 71070456 106605684 142140912 213211368 426422736