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942016 = 2641359
BaseRepresentation
bin11100101111111000000
31202212012111
43211333000
5220121031
632105104
711002255
oct3457700
91685174
10942016
11593829
12395194
1326ca0a
141a742c
151391b1
hexe5fc0

942016 has 28 divisors (see below), whose sum is σ = 1920240. Its totient is φ = 458240.

The previous prime is 942013. The next prime is 942017. The reversal of 942016 is 610249.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (942013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2445 + ... + 2803.

It is an arithmetic number, because the mean of its divisors is an integer number (68580).

2942016 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 942016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960120).

942016 is an abundant number, since it is smaller than the sum of its proper divisors (978224).

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

942016 is a wasteful number, since it uses less digits than its factorization.

942016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 942016 is about 970.5750872550. The cubic root of 942016 is about 98.0285908528.

It can be divided in two parts, 9 and 42016, that added together give a square (42025 = 2052).

The spelling of 942016 in words is "nine hundred forty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 359 656 718 1312 1436 2624 2872 5744 11488 14719 22976 29438 58876 117752 235504 471008 942016