Search a number
-
+
242458452 = 223211096073
BaseRepresentation
bin11100111001110…
…01111101010100
3121220020011110200
432130321331110
5444032132302
640020420500
76002601645
oct1634717524
9556204420
10242458452
11114952695
1269247730
133b301b52
14242b56cc
151644481c
hexe739f54

242458452 has 36 divisors (see below), whose sum is σ = 613534740. Its totient is φ = 80733312.

The previous prime is 242458451. The next prime is 242458453. The reversal of 242458452 is 254854242.

242458452 is a `hidden beast` number, since 2 + 4 + 24 + 584 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (242458451) and next prime (242458453).

It can be written as a sum of positive squares in 2 ways, for example, as 99321156 + 143137296 = 9966^2 + 11964^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2424584522 = 117572201892472608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242458451) 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 11 ways as a sum of consecutive naturals, for example, 36888 + ... + 42960.

Almost surely, 2242458452 is an apocalyptic number.

It is an amenable number.

242458452 is an abundant number, since it is smaller than the sum of its proper divisors (371076288).

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

242458452 is a wasteful number, since it uses less digits than its factorization.

242458452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7192 (or 7187 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

The square root of 242458452 is about 15571.0774193695. The cubic root of 242458452 is about 623.5612361820.

The spelling of 242458452 in words is "two hundred forty-two million, four hundred fifty-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1109 2218 3327 4436 6073 6654 9981 12146 13308 18219 19962 24292 36438 39924 54657 72876 109314 218628 6734957 13469914 20204871 26939828 40409742 60614613 80819484 121229226 242458452