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159848 = 23132953
BaseRepresentation
bin100111000001101000
322010021022
4213001220
520103343
63232012
71234013
oct470150
9263238
10159848
11aa107
1278608
13579b0
144237a
1532568
hex27068

159848 has 32 divisors (see below), whose sum is σ = 340200. Its totient is φ = 69888.

The previous prime is 159839. The next prime is 159853. The reversal of 159848 is 848951.

It can be written as a sum of positive squares in 4 ways, for example, as 128164 + 31684 = 358^2 + 178^2 .

It is an unprimeable number.

159848 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2990 + ... + 3042.

2159848 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 159848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170100).

159848 is an abundant number, since it is smaller than the sum of its proper divisors (180352).

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

159848 is a wasteful number, since it uses less digits than its factorization.

159848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 97 counting only the distinct ones).

The product of its digits is 11520, while the sum is 35.

The square root of 159848 is about 399.8099548536. The cubic root of 159848 is about 54.2711555735.

The spelling of 159848 in words is "one hundred fifty-nine thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 26 29 52 53 58 104 106 116 212 232 377 424 689 754 1378 1508 1537 2756 3016 3074 5512 6148 12296 19981 39962 79924 159848