Search a number
-
+
428666824 = 232310721773
BaseRepresentation
bin11001100011001…
…110111111001000
31002212121112100001
4121203032333020
51334214314244
6110311452344
713423415335
oct3143167710
91085545301
10428666824
111aaa75803
12bb6870b4
136aa6a811
1440d0798c
15279775d4
hex198cefc8

428666824 has 32 divisors (see below), whose sum is σ = 846573120. Its totient is φ = 203089216.

The previous prime is 428666779. The next prime is 428666851.

428666824 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4286668243 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8802 + ... + 30574.

It is an arithmetic number, because the mean of its divisors is an integer number (26455410).

Almost surely, 2428666824 is an apocalyptic number.

It is an amenable number.

428666824 is a deficient number, since it is larger than the sum of its proper divisors (417906296).

428666824 is a wasteful number, since it uses less digits than its factorization.

428666824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21909 (or 21905 counting only the distinct ones).

The product of its digits is 884736, while the sum is 46.

The square root of 428666824 is about 20704.2706705646. The cubic root of 428666824 is about 754.0033771985.

The spelling of 428666824 in words is "four hundred twenty-eight million, six hundred sixty-six thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 23 46 92 107 184 214 428 856 2461 4922 9844 19688 21773 43546 87092 174184 500779 1001558 2003116 2329711 4006232 4659422 9318844 18637688 53583353 107166706 214333412 428666824