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842248 = 231117563
BaseRepresentation
bin11001101101000001000
31120210100101
43031220020
5203422443
630015144
710105351
oct3155010
91523311
10842248
11525880
123474b4
13236494
1417cd28
1511984d
hexcda08

842248 has 32 divisors (see below), whose sum is σ = 1827360. Its totient is φ = 359680.

The previous prime is 842209. The next prime is 842249.

842248 is nontrivially palindromic in base 10.

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 (842249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1215 + ... + 1777.

It is an arithmetic number, because the mean of its divisors is an integer number (57105).

2842248 is an apocalyptic number.

842248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913680).

842248 is an abundant number, since it is smaller than the sum of its proper divisors (985112).

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

842248 is a wasteful number, since it uses less digits than its factorization.

842248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 593 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The square root of 842248 is about 917.7407041207. The cubic root of 842248 is about 94.4379742844.

It can be divided in two parts, 84 and 2248, that added together give a palindrome (2332).

The spelling of 842248 in words is "eight hundred forty-two thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 563 748 1126 1496 2252 4504 6193 9571 12386 19142 24772 38284 49544 76568 105281 210562 421124 842248