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114848 = 253797
BaseRepresentation
bin11100000010100000
312211112122
4130002200
512133343
62243412
7655556
oct340240
9184478
10114848
1179318
1256568
1340376
142dbd6
1524068
hex1c0a0

114848 has 24 divisors (see below), whose sum is σ = 234612. Its totient is φ = 55296.

The previous prime is 114847. The next prime is 114859. The reversal of 114848 is 848411.

114848 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 110224 + 4624 = 332^2 + 68^2 .

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

It is not an unprimeable number, because it can be changed into a prime (114847) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 1136 + ... + 1232.

2114848 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 114848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117306).

114848 is an abundant number, since it is smaller than the sum of its proper divisors (119764).

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

114848 is an equidigital number, since it uses as much as digits as its factorization.

114848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its digits is 1024, while the sum is 26.

The square root of 114848 is about 338.8923132796. The cubic root of 114848 is about 48.6080067194.

The spelling of 114848 in words is "one hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 37 74 97 148 194 296 388 592 776 1184 1552 3104 3589 7178 14356 28712 57424 114848