Search a number
-
+
506913117 = 3898112341
BaseRepresentation
bin11110001101101…
…110000101011101
31022022211212001220
4132031232011131
52014232204432
6122144523553
715363455544
oct3615560535
91268755056
10506913117
11240159367
121219205b9
13810358b9
144b47515b
152e78172c
hex1e36e15d

506913117 has 16 divisors (see below), whose sum is σ = 684613440. Its totient is φ = 333590400.

The previous prime is 506913107. The next prime is 506913131. The reversal of 506913117 is 711319605.

It is a happy number.

It is not a de Polignac number, because 506913117 - 24 = 506913101 is a prime.

It is a super-4 number, since 4×5069131174 (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506913107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215367 + ... + 217707.

It is an arithmetic number, because the mean of its divisors is an integer number (42788340).

Almost surely, 2506913117 is an apocalyptic number.

It is an amenable number.

506913117 is a deficient number, since it is larger than the sum of its proper divisors (177700323).

506913117 is a wasteful number, since it uses less digits than its factorization.

506913117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244.

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 506913117 is about 22514.7311109860. The cubic root of 506913117 is about 797.3417587458.

The spelling of 506913117 in words is "five hundred six million, nine hundred thirteen thousand, one hundred seventeen".

Divisors: 1 3 89 267 811 2341 2433 7023 72179 208349 216537 625047 1898551 5695653 168971039 506913117