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47720241 = 3217311897
BaseRepresentation
bin1011011000001…
…0011100110001
310022210102212100
42312002130301
544204021431
64422451013
71116421032
oct266023461
9108712770
1047720241
1124a33a18
1213b93a69
139b6a83a
1464a2a89
1542c94e6
hex2d82731

47720241 has 12 divisors (see below), whose sum is σ = 72984132. Its totient is φ = 29942016.

The previous prime is 47720227. The next prime is 47720243. The reversal of 47720241 is 14202774.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17514225 + 30206016 = 4185^2 + 5496^2 .

It is not a de Polignac number, because 47720241 - 29 = 47719729 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (47720243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155796 + ... + 156101.

It is an arithmetic number, because the mean of its divisors is an integer number (6082011).

Almost surely, 247720241 is an apocalyptic number.

It is an amenable number.

47720241 is a deficient number, since it is larger than the sum of its proper divisors (25263891).

47720241 is a wasteful number, since it uses less digits than its factorization.

47720241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311920 (or 311917 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 47720241 is about 6907.9838592747. The cubic root of 47720241 is about 362.7166926370.

It can be divided in two parts, 47720 and 241, that added together give a square (47961 = 2192).

The spelling of 47720241 in words is "forty-seven million, seven hundred twenty thousand, two hundred forty-one".

Divisors: 1 3 9 17 51 153 311897 935691 2807073 5302249 15906747 47720241