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47081312 = 253121531
BaseRepresentation
bin1011001110011…
…0011101100000
310021120222102022
42303212131200
544023100222
64401041012
71111120205
oct263463540
9107528368
1047081312
1124637983
1213926168
1399a5a85
146377cac
154200042
hex2ce6760

47081312 has 36 divisors (see below), whose sum is σ = 95840388. Its totient is φ = 22766400.

The previous prime is 47081311. The next prime is 47081371. The reversal of 47081312 is 21318074.

47081312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47081311) 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 5 ways as a sum of consecutive naturals, for example, 29987 + ... + 31517.

It is an arithmetic number, because the mean of its divisors is an integer number (2662233).

Almost surely, 247081312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47081312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47920194).

47081312 is an abundant number, since it is smaller than the sum of its proper divisors (48759076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47081312 is a wasteful number, since it uses less digits than its factorization.

47081312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 47081312 is about 6861.5823247994. The cubic root of 47081312 is about 361.0906022032.

Adding to 47081312 its reverse (21318074), we get a palindrome (68399386).

The spelling of 47081312 in words is "forty-seven million, eighty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 961 992 1531 1922 3062 3844 6124 7688 12248 15376 24496 30752 47461 48992 94922 189844 379688 759376 1471291 1518752 2942582 5885164 11770328 23540656 47081312