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242533544 = 231189173179
BaseRepresentation
bin11100111010011…
…00010010101000
3121220100222110212
432131030102220
5444042033134
640022200252
76003333611
oct1635142250
9556328425
10242533544
111149a4050
1269283088
133b32a096
14242d4c08
151645bbce
hexe74c4a8

242533544 has 64 divisors (see below), whose sum is σ = 507384000. Its totient is φ = 107768320.

The previous prime is 242533493. The next prime is 242533549. The reversal of 242533544 is 445335242.

It is a self number, because there is not a number n which added to its sum of digits gives 242533544.

It is not an unprimeable number, because it can be changed into a prime (242533549) 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 15 ways as a sum of consecutive naturals, for example, 1354847 + ... + 1355025.

It is an arithmetic number, because the mean of its divisors is an integer number (7927875).

Almost surely, 2242533544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242533544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253692000).

242533544 is an abundant number, since it is smaller than the sum of its proper divisors (264850456).

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

242533544 is a wasteful number, since it uses less digits than its factorization.

242533544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 454 counting only the distinct ones).

The product of its digits is 57600, while the sum is 32.

The square root of 242533544 is about 15573.4884980855. The cubic root of 242533544 is about 623.6256040861.

Adding to 242533544 its reverse (445335242), we get a palindrome (687868786).

The spelling of 242533544 in words is "two hundred forty-two million, five hundred thirty-three thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 89 173 178 179 346 356 358 692 712 716 979 1384 1432 1903 1958 1969 3806 3916 3938 7612 7832 7876 15224 15397 15752 15931 30794 30967 31862 61588 61934 63724 123176 123868 127448 169367 175241 247736 338734 340637 350482 677468 681274 700964 1354936 1362548 1401928 2725096 2756063 5512126 11024252 22048504 30316693 60633386 121266772 242533544