Search a number
-
+
429568640 = 275671201
BaseRepresentation
bin11001100110101…
…011001010000000
31002221022100101122
4121212223022000
51334432144030
6110343051412
713434162464
oct3146531200
91087270348
10429568640
11200531306
12bba40b68
136acc5137
14410a04a4
1527aa48e5
hex199ab280

429568640 has 32 divisors (see below), whose sum is σ = 1026939060. Its totient is φ = 171827200.

The previous prime is 429568591. The next prime is 429568651. The reversal of 429568640 is 46865924.

It can be written as a sum of positive squares in 2 ways, for example, as 383219776 + 46348864 = 19576^2 + 6808^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 429568591 and 429568600.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 334961 + ... + 336240.

Almost surely, 2429568640 is an apocalyptic number.

429568640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

429568640 is an abundant number, since it is smaller than the sum of its proper divisors (597370420).

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

429568640 is an equidigital number, since it uses as much as digits as its factorization.

429568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671220 (or 671208 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 429568640 is about 20726.0377303526. The cubic root of 429568640 is about 754.5317565001.

The spelling of 429568640 in words is "four hundred twenty-nine million, five hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 671201 1342402 2684804 3356005 5369608 6712010 10739216 13424020 21478432 26848040 42956864 53696080 85913728 107392160 214784320 429568640