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426262914 = 232711273383
BaseRepresentation
bin11001011010000…
…100000110000010
31002201002101210100
4121122010012002
51333110403124
6110144143230
713364114010
oct3132040602
91081071710
10426262914
111a9683700
12ba907b16
136a40859c
144087d8b0
15276501c9
hex19684182

426262914 has 144 divisors (see below), whose sum is σ = 1179150336. Its totient is φ = 108915840.

The previous prime is 426262877. The next prime is 426262931. The reversal of 426262914 is 419262624.

426262914 is a `hidden beast` number, since 4 + 2 + 626 + 29 + 1 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1112767 + ... + 1113149.

It is an arithmetic number, because the mean of its divisors is an integer number (8188544).

Almost surely, 2426262914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426262914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589575168).

426262914 is an abundant number, since it is smaller than the sum of its proper divisors (752887422).

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

426262914 is a wasteful number, since it uses less digits than its factorization.

426262914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 479 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 426262914 is about 20646.1355706098. The cubic root of 426262914 is about 752.5912820323.

It can be divided in two parts, 4262 and 62914, that added together give a palindrome (67176).

The spelling of 426262914 in words is "four hundred twenty-six million, two hundred sixty-two thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 73 77 99 121 126 146 154 198 219 231 242 363 383 438 462 511 657 693 726 766 803 847 1022 1089 1149 1314 1386 1533 1606 1694 2178 2298 2409 2541 2681 3066 3447 4213 4599 4818 5082 5362 5621 6894 7227 7623 8043 8426 8833 9198 11242 12639 14454 15246 16086 16863 17666 24129 25278 26499 27959 29491 33726 37917 46343 48258 50589 52998 55918 58982 61831 75834 79497 83877 88473 92686 101178 123662 139029 158994 167754 176946 185493 195713 251631 265419 278058 307549 324401 370986 391426 417087 503262 530838 556479 587139 615098 648802 834174 922647 973203 1112958 1174278 1761417 1845294 1946406 2152843 2767941 2919609 3383039 3522834 4305686 5535882 5839218 6458529 6766078 10149117 12917058 19375587 20298234 23681273 30447351 38751174 47362546 60894702 71043819 142087638 213131457 426262914