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985424 = 24112509
BaseRepresentation
bin11110000100101010000
31212001202012
43300211100
5223013144
633042052
711242646
oct3604520
91761665
10985424
11613400
123b6328
132866bb
141b9196
15146e9e
hexf0950

985424 has 30 divisors (see below), whose sum is σ = 2102730. Its totient is φ = 447040.

The previous prime is 985417. The next prime is 985433. The reversal of 985424 is 424589.

985424 = T232 + T233 + ... + T263.

It can be written as a sum of positive squares in only one way, i.e., 937024 + 48400 = 968^2 + 220^2 .

It is a congruent number.

It is an unprimeable number.

985424 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1682 + ... + 2190.

It is an arithmetic number, because the mean of its divisors is an integer number (70091).

2985424 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 985424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051365).

985424 is an abundant number, since it is smaller than the sum of its proper divisors (1117306).

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

985424 is a wasteful number, since it uses less digits than its factorization.

985424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 522 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 985424 is about 992.6852471957. The cubic root of 985424 is about 99.5117533653.

The spelling of 985424 in words is "nine hundred eighty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 509 968 1018 1936 2036 4072 5599 8144 11198 22396 44792 61589 89584 123178 246356 492712 985424