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428900904 = 23325956957
BaseRepresentation
bin11001100100001…
…000001000101000
31002220001102102200
4121210020020220
51334244312104
6110320500200
713425411645
oct3144101050
91086042380
10428900904
11200115663
12bb77a660
136ab20223
1440d68dcc
15279c1b39
hex19908228

428900904 has 24 divisors (see below), whose sum is σ = 1161606810. Its totient is φ = 142966944.

The previous prime is 428900891. The next prime is 428900917. The reversal of 428900904 is 409009824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (428900891) and next prime (428900917).

It can be written as a sum of positive squares in only one way, i.e., 412008804 + 16892100 = 20298^2 + 4110^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 2978407 + ... + 2978550.

Almost surely, 2428900904 is an apocalyptic number.

It is an amenable number.

428900904 is an abundant number, since it is smaller than the sum of its proper divisors (732705906).

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

428900904 is a wasteful number, since it uses less digits than its factorization.

428900904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5956969 (or 5956962 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 428900904 is about 20709.9228390644. The cubic root of 428900904 is about 754.1405972057.

The spelling of 428900904 in words is "four hundred twenty-eight million, nine hundred thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5956957 11913914 17870871 23827828 35741742 47655656 53612613 71483484 107225226 142966968 214450452 428900904