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47427973 = 1571811669
BaseRepresentation
bin1011010011101…
…1000110000101
310022020120221121
42310323012011
544120143343
64412313541
71114062655
oct264730605
9108216847
1047427973
112485437a
1213a728b1
139a977b8
146428365
15426caed
hex2d3b185

47427973 has 8 divisors (see below), whose sum is σ = 48022520. Its totient is φ = 46837440.

The previous prime is 47427959. The next prime is 47427983. The reversal of 47427973 is 37972474.

47427973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 66049 + 47361924 = 257^2 + 6882^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47427973 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 (47427953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27583 + ... + 29251.

It is an arithmetic number, because the mean of its divisors is an integer number (6002815).

Almost surely, 247427973 is an apocalyptic number.

It is an amenable number.

47427973 is a deficient number, since it is larger than the sum of its proper divisors (594547).

47427973 is a wasteful number, since it uses less digits than its factorization.

47427973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007.

The product of its digits is 296352, while the sum is 43.

The square root of 47427973 is about 6886.7970058656. The cubic root of 47427973 is about 361.9746759449.

It can be divided in two parts, 47427 and 973, that added together give a square (48400 = 2202).

The spelling of 47427973 in words is "forty-seven million, four hundred twenty-seven thousand, nine hundred seventy-three".

Divisors: 1 157 181 1669 28417 262033 302089 47427973