Search a number
-
+
4164084132 = 2231329920443
BaseRepresentation
bin1111100000110010…
…1110000110100100
3101202012110101120020
43320030232012210
532012001143012
61525110435140
7205122062655
oct37014560644
911665411506
104164084132
11184757604a
12982662ab0
13514912110
142b706752c
15195887a8c
hexf832e1a4

4164084132 has 48 divisors (see below), whose sum is σ = 10824421440. Its totient is φ = 1237074048.

The previous prime is 4164084131. The next prime is 4164084139. The reversal of 4164084132 is 2314804614.

It is a junction number, because it is equal to n+sod(n) for n = 4164084093 and 4164084102.

It is not an unprimeable number, because it can be changed into a prime (4164084131) 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, 455698 + ... + 464745.

It is an arithmetic number, because the mean of its divisors is an integer number (225508780).

Almost surely, 24164084132 is an apocalyptic number.

It is an amenable number.

4164084132 is an abundant number, since it is smaller than the sum of its proper divisors (6660337308).

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

4164084132 is a wasteful number, since it uses less digits than its factorization.

4164084132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920492 (or 920490 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4164084132 is about 64529.7151086226. The cubic root of 4164084132 is about 1608.8164509922.

Adding to 4164084132 its reverse (2314804614), we get a palindrome (6478888746).

The spelling of 4164084132 in words is "four billion, one hundred sixty-four million, eighty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 4524 920443 1840886 2761329 3681772 5522658 11045316 11965759 23931518 26692847 35897277 47863036 53385694 71794554 80078541 106771388 143589108 160157082 320314164 347007011 694014022 1041021033 1388028044 2082042066 4164084132