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522468 = 223223631
BaseRepresentation
bin1111111100011100100
3222112200200
41333203210
5113204333
615110500
74304142
oct1774344
9875620
10522468
113275a1
12212430
13153a6b
14d8592
15a4c13
hex7f8e4

522468 has 36 divisors (see below), whose sum is σ = 1380288. Its totient is φ = 166320.

The previous prime is 522449. The next prime is 522469. The reversal of 522468 is 864225.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×5224682 = 545945622048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (522469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 513 + ... + 1143.

2522468 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 522468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690144).

522468 is an abundant number, since it is smaller than the sum of its proper divisors (857820).

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

522468 is a wasteful number, since it uses less digits than its factorization.

522468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 659 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 522468 is about 722.8194795383. The cubic root of 522468 is about 80.5415343192.

It can be divided in two parts, 522 and 468, that added together give a triangular number (990 = T44).

The spelling of 522468 in words is "five hundred twenty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 631 828 1262 1893 2524 3786 5679 7572 11358 14513 22716 29026 43539 58052 87078 130617 174156 261234 522468