Search a number
-
+
426409956 = 2232721631483
BaseRepresentation
bin11001011010100…
…111111111100100
31002201100212111100
4121122213333210
51333130104311
6110151240100
713365265500
oct3132477744
91081325440
10426409956
111a9774125
12ba979030
136a45a4ab
14408bb300
152767da56
hex196a7fe4

426409956 has 108 divisors (see below), whose sum is σ = 1262391312. Its totient is φ = 121002336.

The previous prime is 426409943. The next prime is 426409969. The reversal of 426409956 is 659904624.

It is an interprime number because it is at equal distance from previous prime (426409943) and next prime (426409969).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 286791 + ... + 288273.

Almost surely, 2426409956 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 426409956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631195656).

426409956 is an abundant number, since it is smaller than the sum of its proper divisors (835981356).

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

426409956 is a wasteful number, since it uses less digits than its factorization.

426409956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 426409956 is about 20649.6962689527. The cubic root of 426409956 is about 752.6778090727.

The spelling of 426409956 in words is "four hundred twenty-six million, four hundred nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 163 196 252 294 326 441 489 588 652 882 978 1141 1467 1483 1764 1956 2282 2934 2966 3423 4449 4564 5868 5932 6846 7987 8898 10269 10381 13347 13692 15974 17796 20538 20762 23961 26694 31143 31948 41076 41524 47922 53388 62286 71883 72667 93429 95844 124572 143766 145334 186858 218001 241729 287532 290668 373716 436002 483458 654003 725187 872004 966916 1308006 1450374 1692103 2175561 2616012 2900748 3384206 4351122 5076309 6768412 8702244 10152618 11844721 15228927 20305236 23689442 30457854 35534163 47378884 60915708 71068326 106602489 142136652 213204978 426409956