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992016 = 2432832
BaseRepresentation
bin11110010001100010000
31212101210100
43302030100
5223221031
633132400
711301114
oct3621420
91771710
10992016
11618353
123ba100
132896bc
141bb744
15148de6
hexf2310

992016 has 45 divisors (see below), whose sum is σ = 2810119. Its totient is φ = 326688.

The previous prime is 992011. The next prime is 992021. The reversal of 992016 is 610299.

It is a happy number.

The square root of 992016 is 996.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (992011) and next prime (992021).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (992011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11911 + ... + 11993.

992016 is a Friedman number, since it can be written as 996^(2*(1+0)), using all its digits and the basic arithmetic operations.

2992016 is an apocalyptic number.

992016 is the 996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992016

992016 is an abundant number, since it is smaller than the sum of its proper divisors (1818103).

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

992016 is a wasteful number, since it uses less digits than its factorization.

992016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The cubic root of 992016 is about 99.7331552388.

The spelling of 992016 in words is "nine hundred ninety-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1328 1494 1992 2988 3984 5976 6889 11952 13778 20667 27556 41334 55112 62001 82668 110224 124002 165336 248004 330672 496008 992016