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532968 = 23353419
BaseRepresentation
bin10000010000111101000
31000002002120
42002013220
5114023333
615231240
74346562
oct2020750
91002076
10532968
11334477
12218520
13158787
14dc332
15a7db3
hex821e8

532968 has 32 divisors (see below), whose sum is σ = 1360800. Its totient is φ = 173888.

The previous prime is 532951. The next prime is 532981. The reversal of 532968 is 869235.

It is a happy number.

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is a zygodrome in base 11.

It is an unprimeable number.

532968 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1063 + ... + 1481.

It is an arithmetic number, because the mean of its divisors is an integer number (42525).

2532968 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 532968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680400).

532968 is an abundant number, since it is smaller than the sum of its proper divisors (827832).

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

532968 is a wasteful number, since it uses less digits than its factorization.

532968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 477 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 532968 is about 730.0465738568. The cubic root of 532968 is about 81.0775054519.

The spelling of 532968 in words is "five hundred thirty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 419 424 636 838 1257 1272 1676 2514 3352 5028 10056 22207 44414 66621 88828 133242 177656 266484 532968