Search a number
-
+
47047000 = 23537111347
BaseRepresentation
bin1011001101111…
…0000101011000
310021112020100111
42303132011120
544021001000
64400214104
71110615160
oct263360530
9107466314
1047047000
1124614120
121390a334
139993280
1463695a0
1541e4cba
hex2cde158

47047000 has 256 divisors, whose sum is σ = 150958080. Its totient is φ = 13248000.

The previous prime is 47046941. The next prime is 47047003. The reversal of 47047000 is 74074.

It is a happy number.

47047000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47047003) 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 63 ways as a sum of consecutive naturals, for example, 1000977 + ... + 1001023.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 247047000 is an apocalyptic number.

47047000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47047000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

47047000 is an abundant number, since it is smaller than the sum of its proper divisors (103911080).

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

47047000 is a wasteful number, since it uses less digits than its factorization.

47047000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 47047000 is about 6859.0815711726. The cubic root of 47047000 is about 361.0028621407.

It can be divided in two parts, 470 and 47000, that multiplied together give a square (22090000 = 47002).

The spelling of 47047000 in words is "forty-seven million, forty-seven thousand".