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428662900 = 22524286629
BaseRepresentation
bin11001100011001…
…110000001110100
31002212121022221201
4121203032001310
51334214203100
6110311422244
713423401031
oct3143160164
91085538851
10428662900
111aaa72866
12bb684984
136aa68ab3
1440d06388
152797636a
hex198ce074

428662900 has 18 divisors (see below), whose sum is σ = 930198710. Its totient is φ = 171465120.

The previous prime is 428662859. The next prime is 428662919. The reversal of 428662900 is 9266824.

It can be written as a sum of positive squares in 3 ways, for example, as 5702544 + 422960356 = 2388^2 + 20566^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 428662900.

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 5 ways as a sum of consecutive naturals, for example, 2143215 + ... + 2143414.

Almost surely, 2428662900 is an apocalyptic number.

It is an amenable number.

428662900 is an abundant number, since it is smaller than the sum of its proper divisors (501535810).

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

428662900 is a wasteful number, since it uses less digits than its factorization.

428662900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286643 (or 4286636 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 428662900 is about 20704.1759072898. The cubic root of 428662900 is about 754.0010764853.

The spelling of 428662900 in words is "four hundred twenty-eight million, six hundred sixty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4286629 8573258 17146516 21433145 42866290 85732580 107165725 214331450 428662900