Search a number
-
+
4760704 = 27132861
BaseRepresentation
bin10010001010010010000000
322221212110101
4102022102000
52204320304
6250012144
755315414
oct22122200
98855411
104760704
112761873
121717054
13ca8bb0
148bcd44
156408a4
hex48a480

4760704 has 32 divisors (see below), whose sum is σ = 10217340. Its totient is φ = 2196480.

The previous prime is 4760689. The next prime is 4760713. The reversal of 4760704 is 4070674.

It can be written as a sum of positive squares in 2 ways, for example, as 4631104 + 129600 = 2152^2 + 360^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 234 + ... + 3094.

Almost surely, 24760704 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 4760704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5108670).

4760704 is an abundant number, since it is smaller than the sum of its proper divisors (5456636).

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

4760704 is a wasteful number, since it uses less digits than its factorization.

4760704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 4760704 is about 2181.9037558976. The cubic root of 4760704 is about 168.2249443292.

The spelling of 4760704 in words is "four million, seven hundred sixty thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 2861 5722 11444 22888 37193 45776 74386 91552 148772 183104 297544 366208 595088 1190176 2380352 4760704