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47072473 = 7173710691
BaseRepresentation
bin1011001110010…
…0010011011001
310021120112021221
42303210103121
544022304343
64400532041
71111052350
oct263442331
9107515257
1047072473
1124631278
1213921021
1399a1a46
146374997
1541ec5ed
hex2ce44d9

47072473 has 16 divisors (see below), whose sum is σ = 58506624. Its totient is φ = 36944640.

The previous prime is 47072461. The next prime is 47072479. The reversal of 47072473 is 37427074.

It is a happy number.

47072473 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 47072473 - 221 = 44975321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47072479) 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 15 ways as a sum of consecutive naturals, for example, 943 + ... + 9748.

It is an arithmetic number, because the mean of its divisors is an integer number (3656664).

Almost surely, 247072473 is an apocalyptic number.

It is an amenable number.

47072473 is a deficient number, since it is larger than the sum of its proper divisors (11434151).

47072473 is a wasteful number, since it uses less digits than its factorization.

47072473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10752.

The product of its (nonzero) digits is 32928, while the sum is 34.

The square root of 47072473 is about 6860.9382011500. The cubic root of 47072473 is about 361.0680038554.

The spelling of 47072473 in words is "forty-seven million, seventy-two thousand, four hundred seventy-three".

Divisors: 1 7 17 37 119 259 629 4403 10691 74837 181747 395567 1272229 2768969 6724639 47072473