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426142656 = 26326011231
BaseRepresentation
bin11001011001100…
…110101111000000
31002200212021211100
4121121212233000
51333043031111
6110141414400
713363103262
oct3131465700
91080767740
10426142656
111a9601315
12ba86a400
136a395924
144084bb32
1527629756
hex19666bc0

426142656 has 84 divisors (see below), whose sum is σ = 1224487264. Its totient is φ = 141696000.

The previous prime is 426142627. The next prime is 426142679. The reversal of 426142656 is 656241624.

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 426142656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345561 + ... + 346791.

Almost surely, 2426142656 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 426142656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612243632).

426142656 is an abundant number, since it is smaller than the sum of its proper divisors (798344608).

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

426142656 is a wasteful number, since it uses less digits than its factorization.

426142656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1837 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 426142656 is about 20643.2230041726. The cubic root of 426142656 is about 752.5205012755.

The spelling of 426142656 in words is "four hundred twenty-six million, one hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 601 1202 1231 1803 2404 2462 3606 3693 4808 4924 5409 7212 7386 9616 9848 10818 11079 14424 14772 19232 19696 21636 22158 28848 29544 38464 39392 43272 44316 57696 59088 78784 86544 88632 115392 118176 173088 177264 236352 346176 354528 709056 739831 1479662 2219493 2959324 4438986 5918648 6658479 8877972 11837296 13316958 17755944 23674592 26633916 35511888 47349184 53267832 71023776 106535664 142047552 213071328 426142656