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521268 = 223112359
BaseRepresentation
bin1111111010000110100
3222111001020
41333100310
5113140033
615101140
74300506
oct1772064
9874036
10521268
11326700
122117b0
13153357
14d7d76
15a46b3
hex7f434

521268 has 36 divisors (see below), whose sum is σ = 1340640. Its totient is φ = 157520.

The previous prime is 521267. The next prime is 521281. The reversal of 521268 is 862125.

521268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1273 + ... + 1631.

It is an arithmetic number, because the mean of its divisors is an integer number (37240).

2521268 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 521268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670320).

521268 is an abundant number, since it is smaller than the sum of its proper divisors (819372).

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

521268 is a wasteful number, since it uses less digits than its factorization.

521268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 375 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 521268 is about 721.9889195826. The cubic root of 521268 is about 80.4798246831.

The spelling of 521268 in words is "five hundred twenty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 359 363 484 718 726 1077 1436 1452 2154 3949 4308 7898 11847 15796 23694 43439 47388 86878 130317 173756 260634 521268