Search a number
-
+
4182041825 = 521331443937
BaseRepresentation
bin1111100101000100…
…1110010011100001
3101210110020201212222
43321101032103201
532031100314300
61530551400425
7205430524523
oct37121162341
911713221788
104182041825
111856720a15
12988683115
1351855ba80
142b95bda13
15197233785
hexf944e4e1

4182041825 has 48 divisors (see below), whose sum is σ = 5783963136. Its totient is φ = 2978726400.

The previous prime is 4182041807. The next prime is 4182041867. The reversal of 4182041825 is 5281402814.

4182041825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4182041825 - 212 = 4182037729 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4462757 + ... + 4463693.

It is an arithmetic number, because the mean of its divisors is an integer number (120499232).

Almost surely, 24182041825 is an apocalyptic number.

It is an amenable number.

4182041825 is a deficient number, since it is larger than the sum of its proper divisors (1601921311).

4182041825 is a wasteful number, since it uses less digits than its factorization.

4182041825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 4182041825 is about 64668.7082366735. The cubic root of 4182041825 is about 1611.1258184107.

The spelling of 4182041825 in words is "four billion, one hundred eighty-two million, forty-one thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 31 65 155 325 403 443 775 937 2015 2215 4685 5759 10075 11075 12181 13733 23425 28795 29047 60905 68665 143975 145235 178529 304525 343325 377611 415091 726175 892645 1888055 2075455 4463225 5396183 9440275 10377275 12867821 26980915 64339105 134904575 167281673 321695525 836408365 4182041825