Search a number
-
+
4964364 = 2232373727
BaseRepresentation
bin10010111100000000001100
3100100012211100
4102330000030
52232324424
6254223100
760124236
oct22740014
910305740
104964364
112890889
1217b4a90
13104a7c2
14933256
15680dc9
hex4bc00c

4964364 has 36 divisors (see below), whose sum is σ = 12891424. Its totient is φ = 1609632.

The previous prime is 4964341. The next prime is 4964369. The reversal of 4964364 is 4634694.

4964364 is a `hidden beast` number, since 4 + 9 + 643 + 6 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 46 + 92 + 66 + 49 + 311 + 67 + 411 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4964369) 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, 532 + ... + 3195.

Almost surely, 24964364 is an apocalyptic number.

It is an amenable number.

4964364 is an abundant number, since it is smaller than the sum of its proper divisors (7927060).

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

4964364 is a wasteful number, since it uses less digits than its factorization.

4964364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774 (or 3769 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 4964364 is about 2228.0852766445. The cubic root of 4964364 is about 170.5903810133.

The spelling of 4964364 in words is "four million, nine hundred sixty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 3727 7454 11181 14908 22362 33543 44724 67086 134172 137899 275798 413697 551596 827394 1241091 1654788 2482182 4964364