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BaseRepresentation
bin1011101100000010
32102200010
423230002
53012444
61005350
7256401
oct135402
972603
1047874
1132a72
1223856
1318a38
1413638
15e2b9
hexbb02

47874 has 16 divisors (see below), whose sum is σ = 97920. Its totient is φ = 15600.

The previous prime is 47869. The next prime is 47881.

47874 is nontrivially palindromic in base 10.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47874.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 424 + ... + 524.

It is an arithmetic number, because the mean of its divisors is an integer number (6120).

247874 is an apocalyptic number.

47874 is an abundant number, since it is smaller than the sum of its proper divisors (50046).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48960).

47874 is a wasteful number, since it uses less digits than its factorization.

47874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185.

The product of its digits is 6272, while the sum is 30.

The square root of 47874 is about 218.8012797038. The cubic root of 47874 is about 36.3105843810.

The spelling of 47874 in words is "forty-seven thousand, eight hundred seventy-four".