Search a number
-
+
426314032 = 241767149157
BaseRepresentation
bin11001011010010…
…000100100110000
31002201011222220121
4121122100210300
51333114022112
6110145220024
713364416024
oct3132204460
91081158817
10426314032
111a9709051
12ba931614
136a425931
1440894384
1527660407
hex19690930

426314032 has 80 divisors (see below), whose sum is σ = 899272800. Its totient is φ = 195047424.

The previous prime is 426314029. The next prime is 426314041. The reversal of 426314032 is 230413624.

It is a junction number, because it is equal to n+sod(n) for n = 426313988 and 426314006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2715298 + ... + 2715454.

It is an arithmetic number, because the mean of its divisors is an integer number (11240910).

Almost surely, 2426314032 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 426314032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449636400).

426314032 is an abundant number, since it is smaller than the sum of its proper divisors (472958768).

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

426314032 is a wasteful number, since it uses less digits than its factorization.

426314032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 426314032 is about 20647.3734891390. The cubic root of 426314032 is about 752.6213647364.

Adding to 426314032 its reverse (230413624), we get a palindrome (656727656).

The spelling of 426314032 in words is "four hundred twenty-six million, three hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 67 68 134 136 149 157 268 272 298 314 536 596 628 1072 1139 1192 1256 2278 2384 2512 2533 2669 4556 5066 5338 9112 9983 10132 10519 10676 18224 19966 20264 21038 21352 23393 39932 40528 42076 42704 46786 79864 84152 93572 159728 168304 169711 178823 187144 339422 357646 374288 397681 678844 715292 795362 1357688 1430584 1567331 1590724 2715376 2861168 3134662 3181448 6269324 6362896 12538648 25077296 26644627 53289254 106578508 213157016 426314032