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9464 = 237132
BaseRepresentation
bin10010011111000
3110222112
42103320
5300324
6111452
736410
oct22370
913875
109464
117124
125588
134400
143640
152c0e
hex24f8

9464 has 24 divisors (see below), whose sum is σ = 21960. Its totient is φ = 3744.

The previous prime is 9463. The next prime is 9467. The reversal of 9464 is 4649.

9464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 12.

It is a nialpdrome in base 13.

It is a zygodrome in base 12 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9461) 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 5 ways as a sum of consecutive naturals, for example, 722 + ... + 734.

It is an arithmetic number, because the mean of its divisors is an integer number (915).

29464 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 9464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10980).

9464 is an abundant number, since it is smaller than the sum of its proper divisors (12496).

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

9464 is a wasteful number, since it uses less digits than its factorization.

9464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 22 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 9464 is about 97.2830920561. The cubic root of 9464 is about 21.1523314872.

The spelling of 9464 in words is "nine thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1352 2366 4732 9464