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426215556 = 22321371101127
BaseRepresentation
bin11001011001111…
…000100010000100
31002200222222211100
4121121320202010
51333102344211
6110143140100
713363525644
oct3131704204
91080888740
10426215556
111a9651068
12ba8a4630
136a3bcb70
144086a524
1527641156
hex19678884

426215556 has 144 divisors (see below), whose sum is σ = 1197600768. Its totient is φ = 127008000.

The previous prime is 426215549. The next prime is 426215597. The reversal of 426215556 is 655512624.

426215556 is a `hidden beast` number, since 42 + 62 + 1 + 5 + 556 = 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 426215556.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3355965 + ... + 3356091.

It is an arithmetic number, because the mean of its divisors is an integer number (8316672).

Almost surely, 2426215556 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 426215556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598800384).

426215556 is an abundant number, since it is smaller than the sum of its proper divisors (771385212).

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

426215556 is a wasteful number, since it uses less digits than its factorization.

426215556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 317 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 426215556 is about 20644.9886413144. The cubic root of 426215556 is about 752.5634099242.

The spelling of 426215556 in words is "four hundred twenty-six million, two hundred fifteen thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 101 117 127 142 156 202 213 234 254 284 303 381 404 426 468 508 606 639 762 852 909 923 1143 1212 1278 1313 1524 1651 1818 1846 2286 2556 2626 2769 3302 3636 3692 3939 4572 4953 5252 5538 6604 7171 7878 8307 9017 9906 11076 11817 12827 14342 14859 15756 16614 18034 19812 21513 23634 25654 27051 28684 29718 33228 36068 38481 43026 47268 51308 54102 59436 64539 76962 81153 86052 93223 108204 115443 117221 129078 153924 162306 166751 186446 230886 234442 258156 279669 324612 333502 351663 372892 461772 468884 500253 559338 667004 703326 839007 910717 1000506 1054989 1118676 1406652 1500759 1678014 1821434 2001012 2109978 2732151 3001518 3356028 3642868 4219956 5464302 6003036 8196453 10928604 11839321 16392906 23678642 32785812 35517963 47357284 71035926 106553889 142071852 213107778 426215556