Search a number
-
+
428293512 = 233217349913
BaseRepresentation
bin11001100001110…
…011110110001000
31002211220120020200
4121201303312020
51334120343022
6110255452200
713420302063
oct3141636610
91084816220
10428293512
111aa840289
12bb527060
136a96991a
1440c4b8da
1527901bac
hex19873d88

428293512 has 48 divisors (see below), whose sum is σ = 1228198140. Its totient is φ = 134366208.

The previous prime is 428293507. The next prime is 428293553. The reversal of 428293512 is 215392824.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 413959716 + 14333796 = 20346^2 + 3786^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173733 + ... + 176180.

Almost surely, 2428293512 is an apocalyptic number.

It is an amenable number.

428293512 is an abundant number, since it is smaller than the sum of its proper divisors (799904628).

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

428293512 is a wasteful number, since it uses less digits than its factorization.

428293512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349942 (or 349935 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 428293512 is about 20695.2533688283. The cubic root of 428293512 is about 753.7844346207.

The spelling of 428293512 in words is "four hundred twenty-eight million, two hundred ninety-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 349913 699826 1049739 1399652 2099478 2799304 3149217 4198956 5948521 6298434 8397912 11897042 12596868 17845563 23794084 25193736 35691126 47588168 53536689 71382252 107073378 142764504 214146756 428293512