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428939425 = 52101257661
BaseRepresentation
bin11001100100010…
…001100010100001
31002220010101021101
4121210101202201
51334302030200
6110321354401
713425632155
oct3144214241
91086111241
10428939425
112001415a2
12bb798a01
136ab34915
1440d79065
15279cd26a
hex199118a1

428939425 has 24 divisors (see below), whose sum is σ = 540056952. Its totient is φ = 337920000.

The previous prime is 428939387. The next prime is 428939447. The reversal of 428939425 is 524939824.

It can be written as a sum of positive squares in 12 ways, for example, as 25411681 + 403527744 = 5041^2 + 20088^2 .

It is not a de Polignac number, because 428939425 - 215 = 428906657 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 648595 + ... + 649255.

It is an arithmetic number, because the mean of its divisors is an integer number (22502373).

Almost surely, 2428939425 is an apocalyptic number.

It is an amenable number.

428939425 is a deficient number, since it is larger than the sum of its proper divisors (111117527).

428939425 is a wasteful number, since it uses less digits than its factorization.

428939425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1024 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 428939425 is about 20710.8528313056. The cubic root of 428939425 is about 754.1631738118.

The spelling of 428939425 in words is "four hundred twenty-eight million, nine hundred thirty-nine thousand, four hundred twenty-five".

Divisors: 1 5 25 101 257 505 661 1285 2525 3305 6425 16525 25957 66761 129785 169877 333805 648925 849385 1669025 4246925 17157577 85787885 428939425