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56848 = 24111719
BaseRepresentation
bin1101111000010000
32212222111
431320100
53304343
61115104
7324511
oct157020
985874
1056848
1139790
1228a94
131cb4c
1416a08
1511c9d
hexde10

56848 has 40 divisors (see below), whose sum is σ = 133920. Its totient is φ = 23040.

The previous prime is 56843. The next prime is 56857. The reversal of 56848 is 84865.

It is not an unprimeable number, because it can be changed into a prime (56843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2983 + ... + 3001.

It is an arithmetic number, because the mean of its divisors is an integer number (3348).

256848 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 56848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960).

56848 is an abundant number, since it is smaller than the sum of its proper divisors (77072).

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

56848 is a wasteful number, since it uses less digits than its factorization.

56848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 49 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 56848 is about 238.4281862532. The cubic root of 56848 is about 38.4507719608.

It can be divided in two parts, 568 and 48, that added together give a palindrome (616).

The spelling of 56848 in words is "fifty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 17 19 22 34 38 44 68 76 88 136 152 176 187 209 272 304 323 374 418 646 748 836 1292 1496 1672 2584 2992 3344 3553 5168 7106 14212 28424 56848