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47468031 = 3137316673
BaseRepresentation
bin1011010100010…
…0110111111111
310022022121220020
42311010313333
544122434111
64413223223
71114320522
oct265046777
9108277806
1047468031
1124881486
1213a91b13
139aacac0
146438bb9
154279906
hex2d44dff

47468031 has 16 divisors (see below), whose sum is σ = 69097056. Its totient is φ = 28809216.

The previous prime is 47468027. The next prime is 47468039. The reversal of 47468031 is 13086474.

It is not a de Polignac number, because 47468031 - 22 = 47468027 is a prime.

It is a super-2 number, since 2×474680312 = 4506427934033922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47467983 and 47468001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47468039) 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 15 ways as a sum of consecutive naturals, for example, 5490 + ... + 11183.

It is an arithmetic number, because the mean of its divisors is an integer number (4318566).

Almost surely, 247468031 is an apocalyptic number.

47468031 is a deficient number, since it is larger than the sum of its proper divisors (21629025).

47468031 is a wasteful number, since it uses less digits than its factorization.

47468031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16762.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 47468031 is about 6889.7047106534. The cubic root of 47468031 is about 362.0765560542.

The spelling of 47468031 in words is "forty-seven million, four hundred sixty-eight thousand, thirty-one".

Divisors: 1 3 13 39 73 219 949 2847 16673 50019 216749 650247 1217129 3651387 15822677 47468031