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425431812 = 2231321961181
BaseRepresentation
bin11001010110111…
…001001100000100
31002122112011201210
4121112321030010
51332402304222
6110114251420
713354052661
oct3126711404
91078464653
10425431812
111a9166243
12ba586b70
136a1a7200
1440704a68
1527538d0c
hex195b9304

425431812 has 144 divisors (see below), whose sum is σ = 1156384320. Its totient is φ = 121305600.

The previous prime is 425431807. The next prime is 425431813. The reversal of 425431812 is 218134524.

It is a super-4 number, since 4×4254318124 (a number of 36 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 425431812.

It is not an unprimeable number, because it can be changed into a prime (425431813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2350362 + ... + 2350542.

Almost surely, 2425431812 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 425431812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578192160).

425431812 is an abundant number, since it is smaller than the sum of its proper divisors (730952508).

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

425431812 is a wasteful number, since it uses less digits than its factorization.

425431812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 279 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 425431812 is about 20625.9984485600. The cubic root of 425431812 is about 752.1018446076.

The spelling of 425431812 in words is "four hundred twenty-five million, four hundred thirty-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 61 76 78 114 122 156 169 181 183 228 244 247 338 362 366 494 507 543 676 724 732 741 793 988 1014 1086 1159 1482 1586 2028 2172 2318 2353 2379 2964 3172 3211 3439 3477 4636 4706 4758 6422 6878 6954 7059 9412 9516 9633 10309 10317 11041 12844 13756 13908 14118 15067 19266 20618 20634 22082 28236 30134 30589 30927 33123 38532 41236 41268 44164 44707 45201 60268 61178 61854 66246 89414 90402 91767 122356 123708 132492 134121 143533 178828 180804 183534 195871 209779 268242 287066 367068 391742 419558 430599 536484 574132 581191 587613 629337 783484 839116 861198 1162382 1175226 1258674 1722396 1743573 1865929 2324764 2350452 2517348 2727127 3487146 3731858 5454254 5597787 6974292 7463716 8181381 10908508 11195574 16362762 22391148 32725524 35452651 70905302 106357953 141810604 212715906 425431812