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47142873 = 329754001
BaseRepresentation
bin1011001111010…
…1011111011001
310021201002212100
42303311133121
544032032443
64402234013
71111464531
oct263653731
9107632770
1047142873
112467a158
1213955909
1399c7abb
1463924c1
1542133d3
hex2cf57d9

47142873 has 12 divisors (see below), whose sum is σ = 68798548. Its totient is φ = 31104000.

The previous prime is 47142863. The next prime is 47142877. The reversal of 47142873 is 37824174.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15468489 + 31674384 = 3933^2 + 5628^2 .

It is not a de Polignac number, because 47142873 - 25 = 47142841 is a prime.

It is a super-4 number, since 4×471428734 (a number of 32 digits) contains 4444 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (47142877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26128 + ... + 27873.

Almost surely, 247142873 is an apocalyptic number.

It is an amenable number.

47142873 is a deficient number, since it is larger than the sum of its proper divisors (21655675).

47142873 is a wasteful number, since it uses less digits than its factorization.

47142873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54104 (or 54101 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 47142873 is about 6866.0667780033. The cubic root of 47142873 is about 361.2479145643.

The spelling of 47142873 in words is "forty-seven million, one hundred forty-two thousand, eight hundred seventy-three".

Divisors: 1 3 9 97 291 873 54001 162003 486009 5238097 15714291 47142873