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42248 = 235281
BaseRepresentation
bin1010010100001000
32010221202
422110020
52322443
6523332
7234113
oct122410
963852
1042248
1129818
1220548
13162cb
141157a
15c7b8
hexa508

42248 has 8 divisors (see below), whose sum is σ = 79230. Its totient is φ = 21120.

The previous prime is 42239. The next prime is 42257. The reversal of 42248 is 84224.

It is an interprime number because it is at equal distance from previous prime (42239) and next prime (42257).

It can be written as a sum of positive squares in only one way, i.e., 40804 + 1444 = 202^2 + 38^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 44 + 213 + 215 + 45 + 8 .

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

42248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2633 + ... + 2648.

242248 is an apocalyptic number.

It is an amenable number.

42248 is a deficient number, since it is larger than the sum of its proper divisors (36982).

42248 is a wasteful number, since it uses less digits than its factorization.

42248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5287 (or 5283 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 42248 is about 205.5431828108. The cubic root of 42248 is about 34.8285492592.

The spelling of 42248 in words is "forty-two thousand, two hundred forty-eight".

Divisors: 1 2 4 8 5281 10562 21124 42248