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48020 = 22574
BaseRepresentation
bin1011101110010100
32102212112
423232110
53014040
61010152
7260000
oct135624
972775
1048020
1133095
1223958
1318b1b
1413700
15e365
hexbb94

48020 has 30 divisors (see below), whose sum is σ = 117642. Its totient is φ = 16464.

The previous prime is 48017. The next prime is 48023. The reversal of 48020 is 2084.

It is an interprime number because it is at equal distance from previous prime (48017) and next prime (48023).

It can be written as a sum of positive squares in only one way, i.e., 38416 + 9604 = 196^2 + 98^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 47986 and 48004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48023) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6857 + ... + 6863.

248020 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 48020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58821).

48020 is an abundant number, since it is smaller than the sum of its proper divisors (69622).

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

48020 is an equidigital number, since it uses as much as digits as its factorization.

48020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 48020 is about 219.1346617950. The cubic root of 48020 is about 36.3474587130.

Adding to 48020 its product of nonzero digits (64), we get a palindrome (48084).

The spelling of 48020 in words is "forty-eight thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 2401 3430 4802 6860 9604 12005 24010 48020