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4764 = 223397
BaseRepresentation
bin1001010011100
320112110
41022130
5123024
634020
716614
oct11234
96473
104764
113641
122910
132226
141a44
151629
hex129c

4764 has 12 divisors (see below), whose sum is σ = 11144. Its totient is φ = 1584.

The previous prime is 4759. The next prime is 4783. The reversal of 4764 is 4674.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 8, base 13 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 4764.

It is a congruent number.

It is an unprimeable number.

4764 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 187 + ... + 210.

24764 is an apocalyptic number.

It is an amenable number.

4764 is an abundant number, since it is smaller than the sum of its proper divisors (6380).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572).

4764 is a wasteful number, since it uses less digits than its factorization.

4764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 402 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 4764 is about 69.0217357069. The cubic root of 4764 is about 16.8263758022.

It can be divided in two parts, 47 and 64, that added together give a palindrome (111).

The spelling of 4764 in words is "four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 397 794 1191 1588 2382 4764