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48740 = 2252437
BaseRepresentation
bin1011111001100100
32110212012
423321210
53024430
61013352
7262046
oct137144
973765
1048740
113368a
1224258
1319253
1413a96
15e695
hexbe64

48740 has 12 divisors (see below), whose sum is σ = 102396. Its totient is φ = 19488.

The previous prime is 48733. The next prime is 48751. The reversal of 48740 is 4784.

48740 = T28 + T29 + ... + T67.

It can be written as a sum of positive squares in 2 ways, for example, as 33856 + 14884 = 184^2 + 122^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

48740 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1199 + ... + 1238.

It is an arithmetic number, because the mean of its divisors is an integer number (8533).

248740 is an apocalyptic number.

It is an amenable number.

48740 is an abundant number, since it is smaller than the sum of its proper divisors (53656).

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 (51198).

48740 is a wasteful number, since it uses less digits than its factorization.

48740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 48740 is about 220.7713749561. The cubic root of 48740 is about 36.5282198726.

Subtracting from 48740 its reverse (4784), we obtain a triangular number (43956 = T296).

The spelling of 48740 in words is "forty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 2437 4874 9748 12185 24370 48740