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428604020 = 225135712887
BaseRepresentation
bin11001100010111…
…111101001110100
31002212111100011222
4121202333221310
51334210312040
6110310245512
713423034255
oct3142775164
91085440158
10428604020
111aaa325a9
12bb656898
136aa48060
1440cccb2c
1527963bb5
hex198bfa74

428604020 has 48 divisors (see below), whose sum is σ = 971338368. Its totient is φ = 157921920.

The previous prime is 428603977. The next prime is 428604053. The reversal of 428604020 is 20406824.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147017 + ... + 149903.

It is an arithmetic number, because the mean of its divisors is an integer number (20236216).

Almost surely, 2428604020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428604020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485669184).

428604020 is an abundant number, since it is smaller than the sum of its proper divisors (542734348).

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

428604020 is a wasteful number, since it uses less digits than its factorization.

428604020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 428604020 is about 20702.7539230896. The cubic root of 428604020 is about 753.9665523746.

The spelling of 428604020 in words is "four hundred twenty-eight million, six hundred four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 571 1142 2284 2855 2887 5710 5774 7423 11420 11548 14435 14846 28870 29692 37115 37531 57740 74230 75062 148460 150124 187655 375310 750620 1648477 3296954 6593908 8242385 16484770 21430201 32969540 42860402 85720804 107151005 214302010 428604020