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426503430 = 2325103139331
BaseRepresentation
bin11001011010111…
…110110100000110
31002201112121201100
4121122332310012
51333141102210
6110153240530
713366135143
oct3132766406
91081477640
10426503430
111a9828381
12baa03146
136a490bc2
14409033ca
152769b5c0
hex196bed06

426503430 has 96 divisors (see below), whose sum is σ = 1131137280. Its totient is φ = 111481920.

The previous prime is 426503419. The next prime is 426503453. The reversal of 426503430 is 34305624.

426503430 is a `hidden beast` number, since 4 + 2 + 650 + 3 + 4 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 426503394 and 426503403.

It is a congruent number.

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, 1288365 + ... + 1288695.

It is an arithmetic number, because the mean of its divisors is an integer number (11782680).

Almost surely, 2426503430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426503430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565568640).

426503430 is an abundant number, since it is smaller than the sum of its proper divisors (704633850).

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

426503430 is a wasteful number, since it uses less digits than its factorization.

426503430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 426503430 is about 20651.9594711979. The cubic root of 426503430 is about 752.7328036182.

The spelling of 426503430 in words is "four hundred twenty-six million, five hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 139 206 278 309 331 417 515 618 662 695 834 927 993 1030 1251 1390 1545 1655 1854 1986 2085 2502 2979 3090 3310 4170 4635 4965 5958 6255 9270 9930 12510 14317 14895 28634 29790 34093 42951 46009 68186 71585 85902 92018 102279 128853 138027 143170 170465 204558 214755 230045 257706 276054 306837 340930 414081 429510 460090 511395 613674 644265 690135 828162 1022790 1288530 1380270 1534185 2070405 3068370 4140810 4738927 9477854 14216781 23694635 28433562 42650343 47389270 71083905 85300686 142167810 213251715 426503430