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427642047 = 32718013769
BaseRepresentation
bin11001011111010…
…100110010111111
31002210200110121100
4121133110302333
51333434021142
6110233504143
713411616550
oct3137246277
91083613540
10427642047
111aa435888
12bb272053
136a79c241
1440b1c327
1527823b4c
hex197d4cbf

427642047 has 24 divisors (see below), whose sum is σ = 706528160. Its totient is φ = 244166400.

The previous prime is 427642037. The next prime is 427642067. The reversal of 427642047 is 740246724.

It is a happy number.

427642047 is a `hidden beast` number, since 4 + 2 + 7 + 642 + 0 + 4 + 7 = 666.

It is not a de Polignac number, because 427642047 - 24 = 427642031 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427642027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111579 + ... + 115347.

Almost surely, 2427642047 is an apocalyptic number.

427642047 is a deficient number, since it is larger than the sum of its proper divisors (278886113).

427642047 is a wasteful number, since it uses less digits than its factorization.

427642047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5583 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 427642047 is about 20679.5079003346. The cubic root of 427642047 is about 753.4020540376.

The spelling of 427642047 in words is "four hundred twenty-seven million, six hundred forty-two thousand, forty-seven".

Divisors: 1 3 7 9 21 63 1801 3769 5403 11307 12607 16209 26383 33921 37821 79149 113463 237447 6787969 20363907 47515783 61091721 142547349 427642047