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48412 = 22721319
BaseRepresentation
bin1011110100011100
32110102001
423310130
53022122
61012044
7261100
oct136434
973361
1048412
1133411
1224024
1319060
1413900
15e527
hexbd1c

48412 has 36 divisors (see below), whose sum is σ = 111720. Its totient is φ = 18144.

The previous prime is 48409. The next prime is 48413. The reversal of 48412 is 21484.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 48412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2539 + ... + 2557.

248412 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 48412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55860).

48412 is an abundant number, since it is smaller than the sum of its proper divisors (63308).

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

48412 is a wasteful number, since it uses less digits than its factorization.

48412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 41 counting only the distinct ones).

The product of its digits is 256, while the sum is 19.

The square root of 48412 is about 220.0272710370. The cubic root of 48412 is about 36.4460954482.

Adding to 48412 its reverse (21484), we get a palindrome (69896).

It can be divided in two parts, 484 and 12, that added together give a triangular number (496 = T31).

The spelling of 48412 in words is "forty-eight thousand, four hundred twelve".