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916938 = 232112421
BaseRepresentation
bin11011111110111001010
31201120210200
43133313022
5213320223
631353030
710536201
oct3376712
91646720
10916938
11576a00
12382776
13261489
1419c238
15131a43
hexdfdca

916938 has 36 divisors (see below), whose sum is σ = 2188914. Its totient is φ = 277200.

The previous prime is 916933. The next prime is 916939. The reversal of 916938 is 839619.

It can be written as a sum of positive squares in only one way, i.e., 915849 + 1089 = 957^2 + 33^2 .

It is not an unprimeable number, because it can be changed into a prime (916931) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1968 + ... + 2388.

2916938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094457).

916938 is an abundant number, since it is smaller than the sum of its proper divisors (1271976).

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

916938 is a wasteful number, since it uses less digits than its factorization.

916938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 916938 is about 957.5687964841. The cubic root of 916938 is about 97.1508617148.

The spelling of 916938 in words is "nine hundred sixteen thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 421 726 842 1089 1263 2178 2526 3789 4631 7578 9262 13893 27786 41679 50941 83358 101882 152823 305646 458469 916938