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10048 = 26157
BaseRepresentation
bin10011101000000
3111210011
42131000
5310143
6114304
741203
oct23500
914704
1010048
117605
125994
13475c
14393a
152e9d
hex2740

10048 has 14 divisors (see below), whose sum is σ = 20066. Its totient is φ = 4992.

The previous prime is 10039. The next prime is 10061. The reversal of 10048 is 84001.

It can be written as a sum of positive squares in only one way, i.e., 7744 + 2304 = 88^2 + 48^2 .

It is a congruent number.

It is an unprimeable 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, 15 + ... + 142.

210048 is an apocalyptic number.

It is an amenable number.

10048 is a deficient number, since it is larger than the sum of its proper divisors (10018).

10048 is an equidigital number, since it uses as much as digits as its factorization.

10048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 10048 is about 100.2397126891. The cubic root of 10048 is about 21.5787628484.

Adding to 10048 its reverse (84001), we get a palindrome (94049).

The spelling of 10048 in words is "ten thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 157 314 628 1256 2512 5024 10048