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426159664 = 2473196167
BaseRepresentation
bin11001011001101…
…010111000110000
31002200220011011021
4121121222320300
51333044102124
6110142025224
713363204000
oct3131527060
91080804137
10426159664
111a9613077
12ba878214
136a3a05a8
1440854000
152762e7e4
hex1966ae30

426159664 has 160 divisors (see below), whose sum is σ = 1045568000. Its totient is φ = 167650560.

The previous prime is 426159649. The next prime is 426159737. The reversal of 426159664 is 466951624.

It is a super-2 number, since 2×4261596642 = 363224118441185792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 426159664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6360559 + ... + 6360625.

It is an arithmetic number, because the mean of its divisors is an integer number (6534800).

Almost surely, 2426159664 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 426159664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522784000).

426159664 is an abundant number, since it is smaller than the sum of its proper divisors (619408336).

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

426159664 is a wasteful number, since it uses less digits than its factorization.

426159664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 156 counting only the distinct ones).

The product of its digits is 311040, while the sum is 43.

The square root of 426159664 is about 20643.6349512386. The cubic root of 426159664 is about 752.5305125540.

The spelling of 426159664 in words is "four hundred twenty-six million, one hundred fifty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 61 67 76 98 112 122 133 134 152 196 244 266 268 304 343 392 427 469 488 532 536 686 784 854 931 938 976 1064 1072 1159 1273 1372 1708 1862 1876 2128 2318 2546 2744 2989 3283 3416 3724 3752 4087 4636 5092 5488 5978 6517 6566 6832 7448 7504 8113 8174 8911 9272 10184 11956 13034 13132 14896 16226 16348 17822 18544 20368 20923 22981 23912 26068 26264 28609 32452 32696 35644 41846 45962 47824 52136 52528 56791 57218 62377 64904 65392 71288 77653 83692 91924 104272 113582 114436 124754 129808 142576 155306 167384 183848 200263 227164 228872 249508 310612 334768 367696 397537 400526 436639 454328 457744 499016 543571 621224 795074 801052 873278 908656 998032 1087142 1242448 1401841 1590148 1602104 1746556 2174284 2803682 3180296 3204208 3493112 3804997 4348568 5607364 6360592 6986224 7609994 8697136 11214728 15219988 22429456 26634979 30439976 53269958 60879952 106539916 213079832 426159664