Search a number
-
+
242514765 = 32519893187
BaseRepresentation
bin11100111010001…
…11101101001101
3121220100000201100
432131013231031
5444040433030
640021533313
76003225063
oct1635075515
9556300640
10242514765
11114990a29
1269274239
133b32167c
14242cc033
1516456360
hexe747b4d

242514765 has 48 divisors (see below), whose sum is σ = 447595200. Its totient is φ = 121118976.

The previous prime is 242514757. The next prime is 242514781. The reversal of 242514765 is 567415242.

It is a happy number.

It is not a de Polignac number, because 242514765 - 23 = 242514757 is a prime.

It is a super-2 number, since 2×2425147652 = 117626822486010450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 74502 + ... + 77688.

It is an arithmetic number, because the mean of its divisors is an integer number (9324900).

Almost surely, 2242514765 is an apocalyptic number.

It is an amenable number.

242514765 is a deficient number, since it is larger than the sum of its proper divisors (205080435).

242514765 is a wasteful number, since it uses less digits than its factorization.

242514765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 3303 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 242514765 is about 15572.8855707605. The cubic root of 242514765 is about 623.6095082130.

The spelling of 242514765 in words is "two hundred forty-two million, five hundred fourteen thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 19 45 57 89 95 171 267 285 445 801 855 1335 1691 3187 4005 5073 8455 9561 15219 15935 25365 28683 47805 60553 76095 143415 181659 283643 302765 544977 850929 908295 1418215 2552787 2724885 4254645 5389217 12763935 16167651 26946085 48502953 80838255 242514765