Search a number
-
+
4636164 = 22313113263
BaseRepresentation
bin10001101011111000000100
322201112121210
4101223320010
52141324124
6243211420
754256341
oct21537004
98645553
104636164
112687245
121676b70
13c642c0
148897c8
15618a29
hex46be04

4636164 has 48 divisors (see below), whose sum is σ = 11797632. Its totient is φ = 1408512.

The previous prime is 4636147. The next prime is 4636169. The reversal of 4636164 is 4616364.

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

It is not an unprimeable number, because it can be changed into a prime (4636169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17497 + ... + 17759.

It is an arithmetic number, because the mean of its divisors is an integer number (245784).

Almost surely, 24636164 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 4636164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898816).

4636164 is an abundant number, since it is smaller than the sum of its proper divisors (7161468).

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

4636164 is a wasteful number, since it uses less digits than its factorization.

4636164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 394 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 4636164 is about 2153.1753296004. The cubic root of 4636164 is about 166.7450422489.

The spelling of 4636164 in words is "four million, six hundred thirty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 113 156 226 263 339 452 526 678 789 1052 1356 1469 1578 2938 3156 3419 4407 5876 6838 8814 10257 13676 17628 20514 29719 41028 59438 89157 118876 178314 356628 386347 772694 1159041 1545388 2318082 4636164