Search a number
47250 = 233537
BaseRepresentation
bin1011100010010010
32101211000
423202102
53003000
61002430
7254520
oct134222
971730
1047250
1132555
1223416
1318678
1413310
15e000
hexb892

47250 has 64 divisors (see below), whose sum is σ = 149760. Its totient is φ = 10800.

The previous prime is 47237. The next prime is 47251. The reversal of 47250 is 5274.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6747 + ... + 6753.

It is an arithmetic number, because the mean of its divisors is an integer number (2340).

247250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74880).

47250 is an abundant number, since it is smaller than the sum of its proper divisors (102510).

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

47250 is a wasteful number, since it uses less digits than its factorization.

47250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 47250 is about 217.3706511928. The cubic root of 47250 is about 36.1521339626.

The spelling of 47250 in words is "forty-seven thousand, two hundred fifty".