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985376 = 2575383
BaseRepresentation
bin11110000100100100000
31212001200102
43300210200
5223013001
633041532
711242550
oct3604440
91761612
10985376
11613367
123b62a8
13286682
141b9160
15146e6b
hexf0920

985376 has 48 divisors (see below), whose sum is σ = 2286144. Its totient is φ = 409344.

The previous prime is 985351. The next prime is 985379. The reversal of 985376 is 673589.

985376 is nontrivially palindromic in base 13.

It is a super-2 number, since 2×9853762 = 1941931722752, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (985379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11831 + ... + 11913.

It is an arithmetic number, because the mean of its divisors is an integer number (47628).

2985376 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 985376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143072).

985376 is an abundant number, since it is smaller than the sum of its proper divisors (1300768).

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

985376 is a wasteful number, since it uses less digits than its factorization.

985376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 985376 is about 992.6610700536. The cubic root of 985376 is about 99.5101376000.

The spelling of 985376 in words is "nine hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 83 106 112 166 212 224 332 371 424 581 664 742 848 1162 1328 1484 1696 2324 2656 2968 4399 4648 5936 8798 9296 11872 17596 18592 30793 35192 61586 70384 123172 140768 246344 492688 985376