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48681 = 34601
BaseRepresentation
bin1011111000101001
32110210000
423320221
53024211
61013213
7261633
oct137051
973700
1048681
1133636
1224209
1319209
1413a53
15e656
hexbe29

48681 has 10 divisors (see below), whose sum is σ = 72842. Its totient is φ = 32400.

The previous prime is 48679. The next prime is 48731. The reversal of 48681 is 18684.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 2025 = 216^2 + 45^2 .

It is not a de Polignac number, because 48681 - 21 = 48679 is a prime.

It is a super-2 number, since 2×486812 = 4739679522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

48681 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (48611) 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, 220 + ... + 381.

248681 is an apocalyptic number.

It is an amenable number.

48681 is a deficient number, since it is larger than the sum of its proper divisors (24161).

48681 is an equidigital number, since it uses as much as digits as its factorization.

48681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 604 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 48681 is about 220.6377120984. The cubic root of 48681 is about 36.5134747272.

It can be divided in two parts, 48 and 681, that added together give a 6-th power (729 = 36).

The spelling of 48681 in words is "forty-eight thousand, six hundred eighty-one".

Divisors: 1 3 9 27 81 601 1803 5409 16227 48681