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428704900 = 225213329773
BaseRepresentation
bin11001100011011…
…000010010000100
31002212200110120021
4121203120102010
51334222024100
6110312344524
713423634341
oct3143302204
91085613507
10428704900
111aaaa1378
12bb6a5144
136aa81c50
1440d177c8
1527983a1a
hex198d8484

428704900 has 36 divisors (see below), whose sum is σ = 1001853412. Its totient is φ = 158290560.

The previous prime is 428704891. The next prime is 428704909. The reversal of 428704900 is 9407824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (428704891) and next prime (428704909).

It can be written as a sum of positive squares in 6 ways, for example, as 49284 + 428655616 = 222^2 + 20704^2 .

It is not an unprimeable number, because it can be changed into a prime (428704909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163587 + ... + 166186.

Almost surely, 2428704900 is an apocalyptic number.

It is an amenable number.

428704900 is an abundant number, since it is smaller than the sum of its proper divisors (573148512).

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

428704900 is a wasteful number, since it uses less digits than its factorization.

428704900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329800 (or 329793 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 428704900 is about 20705.1901705828. The cubic root of 428704900 is about 754.0257011270.

The spelling of 428704900 in words is "four hundred twenty-eight million, seven hundred four thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 329773 659546 1319092 1648865 3297730 4287049 6595460 8244325 8574098 16488650 17148196 21435245 32977300 42870490 85740980 107176225 214352450 428704900