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842144 = 2526317
BaseRepresentation
bin11001101100110100000
31120210012112
43031212200
5203422034
630014452
710105142
oct3154640
91523175
10842144
11525796
12347428
13236414
1417cc92
151197ce
hexcd9a0

842144 has 12 divisors (see below), whose sum is σ = 1658034. Its totient is φ = 421056.

The previous prime is 842141. The next prime is 842147. The reversal of 842144 is 441248.

It is an interprime number because it is at equal distance from previous prime (842141) and next prime (842147).

It can be written as a sum of positive squares in only one way, i.e., 672400 + 169744 = 820^2 + 412^2 .

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 (842141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13127 + ... + 13190.

2842144 is an apocalyptic number.

It is an amenable number.

842144 is a deficient number, since it is larger than the sum of its proper divisors (815890).

842144 is a wasteful number, since it uses less digits than its factorization.

842144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26327 (or 26319 counting only the distinct ones).

The product of its digits is 1024, while the sum is 23.

The square root of 842144 is about 917.6840414870. The cubic root of 842144 is about 94.4340870867.

The spelling of 842144 in words is "eight hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 26317 52634 105268 210536 421072 842144