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47240101 = 29432881
BaseRepresentation
bin1011010000110…
…1001110100101
310021220001020101
42310031032211
544043140401
64404304101
71112351146
oct264151645
9107801211
1047240101
1124736207
12139a2031
139a3012c
1463b9acd
154232101
hex2d0d3a5

47240101 has 12 divisors (see below), whose sum is σ = 50088780. Its totient is φ = 44499840.

The previous prime is 47240071. The next prime is 47240107. The reversal of 47240101 is 10104274.

47240101 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 2 ways, for example, as 15992001 + 31248100 = 3999^2 + 5590^2 .

It is not a de Polignac number, because 47240101 - 213 = 47231909 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 (47240107) 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 11 ways as a sum of consecutive naturals, for example, 53181 + ... + 54061.

It is an arithmetic number, because the mean of its divisors is an integer number (4174065).

Almost surely, 247240101 is an apocalyptic number.

It is an amenable number.

47240101 is a deficient number, since it is larger than the sum of its proper divisors (2848679).

47240101 is an equidigital number, since it uses as much as digits as its factorization.

47240101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 47240101 is about 6873.1434584184. The cubic root of 47240101 is about 361.4960913040.

Adding to 47240101 its reverse (10104274), we get a palindrome (57344375).

The spelling of 47240101 in words is "forty-seven million, two hundred forty thousand, one hundred one".

Divisors: 1 29 43 881 1247 1849 25549 37883 53621 1098607 1628969 47240101