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842148 = 2232149157
BaseRepresentation
bin11001101100110100100
31120210012200
43031212210
5203422043
630014500
710105146
oct3154644
91523180
10842148
1152579a
12347430
13236418
1417cc96
151197d3
hexcd9a4

842148 has 36 divisors (see below), whose sum is σ = 2156700. Its totient is φ = 277056.

The previous prime is 842147. The next prime is 842159. The reversal of 842148 is 841248.

842148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 166464 + 675684 = 408^2 + 822^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (842141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5286 + ... + 5442.

2842148 is an apocalyptic number.

It is an amenable number.

842148 is an abundant number, since it is smaller than the sum of its proper divisors (1314552).

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

842148 is a wasteful number, since it uses less digits than its factorization.

842148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 311 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 842148 is about 917.6862208838. The cubic root of 842148 is about 94.4342366002.

Subtracting from 842148 its reverse (841248), we obtain a square (900 = 302).

It can be divided in two parts, 842 and 148, that added together give a triangular number (990 = T44).

The spelling of 842148 in words is "eight hundred forty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 149 157 298 314 447 471 596 628 894 942 1341 1413 1788 1884 2682 2826 5364 5652 23393 46786 70179 93572 140358 210537 280716 421074 842148