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428610429 = 32133663337
BaseRepresentation
bin11001100011000…
…001001101111101
31002212111122222100
4121203001031331
51334211013204
6110310335313
713423062042
oct3143011575
91085448870
10428610429
111aaa373a5
12bb65a539
136aa4ac50
1440cd11c9
1527965a39
hex198c137d

428610429 has 12 divisors (see below), whose sum is σ = 666727516. Its totient is φ = 263760192.

The previous prime is 428610389. The next prime is 428610487. The reversal of 428610429 is 924016824.

It can be written as a sum of positive squares in 2 ways, for example, as 171007929 + 257602500 = 13077^2 + 16050^2 .

It is not a de Polignac number, because 428610429 - 29 = 428609917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 428610393 and 428610402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428610029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1831552 + ... + 1831785.

Almost surely, 2428610429 is an apocalyptic number.

It is an amenable number.

428610429 is a deficient number, since it is larger than the sum of its proper divisors (238117087).

428610429 is a wasteful number, since it uses less digits than its factorization.

428610429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663356 (or 3663353 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 428610429 is about 20702.9087086815. The cubic root of 428610429 is about 753.9703104258.

The spelling of 428610429 in words is "four hundred twenty-eight million, six hundred ten thousand, four hundred twenty-nine".

Divisors: 1 3 9 13 39 117 3663337 10990011 32970033 47623381 142870143 428610429