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536984 = 23743223
BaseRepresentation
bin10000011000110011000
31000021121022
42003012120
5114140414
615302012
74364360
oct2030630
91007538
10536984
11337498
1221a908
1315a556
14dd9a0
15a918e
hex83198

536984 has 32 divisors (see below), whose sum is σ = 1182720. Its totient is φ = 223776.

The previous prime is 536971. The next prime is 536989. The reversal of 536984 is 489635.

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 536984.

It is not an unprimeable number, because it can be changed into a prime (536989) 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, 2297 + ... + 2519.

It is an arithmetic number, because the mean of its divisors is an integer number (36960).

2536984 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 536984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591360).

536984 is an abundant number, since it is smaller than the sum of its proper divisors (645736).

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

536984 is a wasteful number, since it uses less digits than its factorization.

536984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 536984 is about 732.7919213528. The cubic root of 536984 is about 81.2806401204.

The spelling of 536984 in words is "five hundred thirty-six thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 223 301 344 446 602 892 1204 1561 1784 2408 3122 6244 9589 12488 19178 38356 67123 76712 134246 268492 536984