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426726630 = 234511471019
BaseRepresentation
bin11001011011110…
…101010011100110
31002201221221220000
4121123311103212
51333220223010
6110202122130
713401054651
oct3133652346
91081857800
10426726630
111a9970040
12baab0346
136a53b685
1440960898
15276e27c0
hex196f54e6

426726630 has 160 divisors (see below), whose sum is σ = 1279618560. Its totient is φ = 101148480.

The previous prime is 426726581. The next prime is 426726649. The reversal of 426726630 is 36627624.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 418261 + ... + 419279.

It is an arithmetic number, because the mean of its divisors is an integer number (7997616).

Almost surely, 2426726630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426726630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639809280).

426726630 is an abundant number, since it is smaller than the sum of its proper divisors (852891930).

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

426726630 is a wasteful number, since it uses less digits than its factorization.

426726630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 426726630 is about 20657.3626099752. The cubic root of 426726630 is about 752.8640887385.

The spelling of 426726630 in words is "four hundred twenty-six million, seven hundred twenty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 47 54 55 66 81 90 94 99 110 135 141 162 165 198 235 270 282 297 330 405 423 470 495 517 594 705 810 846 891 990 1019 1034 1269 1410 1485 1551 1782 2038 2115 2538 2585 2970 3057 3102 3807 4230 4455 4653 5095 5170 6114 6345 7614 7755 8910 9171 9306 10190 11209 12690 13959 15285 15510 18342 19035 22418 23265 27513 27918 30570 33627 38070 41877 45855 46530 47893 55026 56045 67254 69795 82539 83754 91710 95786 100881 112090 137565 139590 143679 165078 168135 201762 209385 239465 275130 287358 302643 336270 412695 418770 431037 478930 504405 526823 605286 718395 825390 862074 907929 1008810 1053646 1293111 1436790 1513215 1580469 1815858 2155185 2586222 2634115 3026430 3160938 3879333 4310370 4539645 4741407 5268230 6465555 7758666 7902345 9079290 9482814 12931110 14224221 15804690 19396665 23707035 28448442 38793330 42672663 47414070 71121105 85345326 142242210 213363315 426726630