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996816 = 243191093
BaseRepresentation
bin11110011010111010000
31212122101010
43303113100
5223344231
633210520
711321112
oct3632720
91778333
10996816
11620a17
12400a40
1328b942
141bd3b2
1514a546
hexf35d0

996816 has 40 divisors (see below), whose sum is σ = 2713120. Its totient is φ = 314496.

The previous prime is 996811. The next prime is 996841. The reversal of 996816 is 618699.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996811) by changing a digit.

996816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 366 + ... + 1458.

It is an arithmetic number, because the mean of its divisors is an integer number (67828).

2996816 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 996816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356560).

996816 is an abundant number, since it is smaller than the sum of its proper divisors (1716304).

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

996816 is a wasteful number, since it uses less digits than its factorization.

996816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1117 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 996816 is about 998.4067307465. The cubic root of 996816 is about 99.8937538241.

The spelling of 996816 in words is "nine hundred ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1093 2186 3279 4372 6558 8744 13116 17488 20767 26232 41534 52464 62301 83068 124602 166136 249204 332272 498408 996816