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427800429 = 3272970069
BaseRepresentation
bin11001011111111…
…011011101101101
31002210222111212100
4121133323131231
51334004103204
6110241125313
713413146400
oct3137733555
91083874770
10427800429
111aa533881
12bb329839
136a826364
1440b5dd37
1527855a39
hex197fb76d

427800429 has 18 divisors (see below), whose sum is σ = 718821870. Its totient is φ = 244457136.

The previous prime is 427800407. The next prime is 427800469. The reversal of 427800429 is 924008724.

It can be written as a sum of positive squares in only one way, i.e., 300155625 + 127644804 = 17325^2 + 11298^2 .

It is not a de Polignac number, because 427800429 - 25 = 427800397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 427800393 and 427800402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427800469) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 484594 + ... + 485475.

Almost surely, 2427800429 is an apocalyptic number.

427800429 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

427800429 is a deficient number, since it is larger than the sum of its proper divisors (291021441).

427800429 is a wasteful number, since it uses less digits than its factorization.

427800429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970089 (or 970079 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 427800429 is about 20683.3369889871. The cubic root of 427800429 is about 753.4950528410.

The spelling of 427800429 in words is "four hundred twenty-seven million, eight hundred thousand, four hundred twenty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 970069 2910207 6790483 8730621 20371449 47533381 61114347 142600143 427800429