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966992 = 24134649
BaseRepresentation
bin11101100000101010000
31211010110112
43230011100
5221420432
632420452
711135135
oct3540520
91733415
10966992
11600574
123a7728
1327b1b0
141b258c
151417b2
hexec150

966992 has 20 divisors (see below), whose sum is σ = 2018100. Its totient is φ = 446208.

The previous prime is 966991. The next prime is 966997. The reversal of 966992 is 299669.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 602176 + 364816 = 776^2 + 604^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 966992.

It is not an unprimeable number, because it can be changed into a prime (966991) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2117 + ... + 2532.

It is an arithmetic number, because the mean of its divisors is an integer number (100905).

2966992 is an apocalyptic number.

It is an amenable number.

966992 is an abundant number, since it is smaller than the sum of its proper divisors (1051108).

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

966992 is a wasteful number, since it uses less digits than its factorization.

966992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4670 (or 4664 counting only the distinct ones).

The product of its digits is 52488, while the sum is 41.

The square root of 966992 is about 983.3575138270. The cubic root of 966992 is about 98.8874004648.

The spelling of 966992 in words is "nine hundred sixty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 4649 9298 18596 37192 60437 74384 120874 241748 483496 966992