Search a number
-
+
4417729157 = 17269396497
BaseRepresentation
bin1000001110101000…
…10011001010000101
3102101212201220010102
410013110103022011
533021414313112
62010211133445
7214322035562
oct40724231205
912355656112
104417729157
111967769336
12a335a4285
1355532c92a
142dca11869
151acc8bbc2
hex107513285

4417729157 has 8 divisors (see below), whose sum is σ = 4679381016. Its totient is φ = 4156275712.

The previous prime is 4417729133. The next prime is 4417729229. The reversal of 4417729157 is 7519277144.

It is a happy number.

4417729157 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 664662+1.

It can be written as a sum of positive squares in 4 ways, for example, as 183494116 + 4234235041 = 13546^2 + 65071^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4417729157 - 26 = 4417729093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4417729457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2468 + ... + 94029.

It is an arithmetic number, because the mean of its divisors is an integer number (584922627).

Almost surely, 24417729157 is an apocalyptic number.

It is an amenable number.

4417729157 is a deficient number, since it is larger than the sum of its proper divisors (261651859).

4417729157 is a wasteful number, since it uses less digits than its factorization.

4417729157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99207.

The product of its digits is 493920, while the sum is 47.

The square root of 4417729157 is about 66466.0000075226. Note that the first 5 decimals coincide. The cubic root of 4417729157 is about 1640.8404819638.

The spelling of 4417729157 in words is "four billion, four hundred seventeen million, seven hundred twenty-nine thousand, one hundred fifty-seven".

Divisors: 1 17 2693 45781 96497 1640449 259866421 4417729157