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428610969 = 32205323197
BaseRepresentation
bin11001100011000…
…001010110011001
31002212111200201100
4121203001112121
51334211022334
6110310342013
713423063443
oct3143012631
91085450640
10428610969
111aaa37846
12bb65a909
136aa4b277
1440cd1493
1527965c99
hex198c1599

428610969 has 12 divisors (see below), whose sum is σ = 619432996. Its totient is φ = 285589152.

The previous prime is 428610961. The next prime is 428610977. The reversal of 428610969 is 969016824.

It is a happy number.

428610969 is a `hidden beast` number, since 4 + 28 + 610 + 9 + 6 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (428610961) and next prime (428610977).

It can be written as a sum of positive squares in 2 ways, for example, as 84879369 + 343731600 = 9213^2 + 18540^2 .

It is not a de Polignac number, because 428610969 - 23 = 428610961 is a prime.

It is a super-2 number, since 2×4286109692 = 367414725494237922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428610961) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6879 + ... + 30075.

Almost surely, 2428610969 is an apocalyptic number.

It is an amenable number.

428610969 is a deficient number, since it is larger than the sum of its proper divisors (190822027).

428610969 is a wasteful number, since it uses less digits than its factorization.

428610969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25256 (or 25253 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 428610969 is about 20702.9217503231. The cubic root of 428610969 is about 753.9706270644.

The spelling of 428610969 in words is "four hundred twenty-eight million, six hundred ten thousand, nine hundred sixty-nine".

Divisors: 1 3 9 2053 6159 18477 23197 69591 208773 47623441 142870323 428610969