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429867053 = 72116011327
BaseRepresentation
bin11001100111110…
…100000000101101
31002221212111201222
4121213310000231
51340021221203
6110353313125
713436544500
oct3147640055
91087774658
10429867053
11200715530
12bbb657a5
136b09ac05
144113b137
1527b13038
hex199f402d

429867053 has 24 divisors (see below), whose sum is σ = 546827904. Its totient is φ = 334152000.

The previous prime is 429867037. The next prime is 429867071. The reversal of 429867053 is 350768924.

It is not a de Polignac number, because 429867053 - 24 = 429867037 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 429866995 and 429867013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429867013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323276 + ... + 324602.

It is an arithmetic number, because the mean of its divisors is an integer number (22784496).

Almost surely, 2429867053 is an apocalyptic number.

It is an amenable number.

429867053 is a deficient number, since it is larger than the sum of its proper divisors (116960851).

429867053 is a wasteful number, since it uses less digits than its factorization.

429867053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 429867053 is about 20733.2354686865. The cubic root of 429867053 is about 754.7064355817.

The spelling of 429867053 in words is "four hundred twenty-nine million, eight hundred sixty-seven thousand, fifty-three".

Divisors: 1 7 11 49 77 539 601 1327 4207 6611 9289 14597 29449 46277 65023 102179 323939 715253 797527 5582689 8772797 39078823 61409579 429867053