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428901876 = 223213916457
BaseRepresentation
bin11001100100001…
…000010111110100
31002220001110202200
4121210020113310
51334244330001
6110320504500
713425414534
oct3144102764
91086043680
10428901876
11200116367
12bb77b130
136ab207c0
1440d694c4
15279c2086
hex199085f4

428901876 has 36 divisors (see below), whose sum is σ = 1167567492. Its totient is φ = 131969664.

The previous prime is 428901799. The next prime is 428901881. The reversal of 428901876 is 678109824.

It can be written as a sum of positive squares in 2 ways, for example, as 219810276 + 209091600 = 14826^2 + 14460^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 457761 + ... + 458696.

Almost surely, 2428901876 is an apocalyptic number.

It is an amenable number.

428901876 is an abundant number, since it is smaller than the sum of its proper divisors (738665616).

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

428901876 is a wasteful number, since it uses less digits than its factorization.

428901876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916480 (or 916475 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 428901876 is about 20709.9463060627. The cubic root of 428901876 is about 754.1411668976.

The spelling of 428901876 in words is "four hundred twenty-eight million, nine hundred one thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 916457 1832914 2749371 3665828 5498742 8248113 10997484 11913941 16496226 23827882 32992452 35741823 47655764 71483646 107225469 142967292 214450938 428901876