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242640558 = 232171316053
BaseRepresentation
bin11100111011001…
…10011010101110
3121220120102021100
432131212122232
5444103444213
640024343530
76004260606
oct1635463256
9556512240
10242640558
11114a67496
1269314ba6
133b3669c4
1424321c06
151647d773
hexe7666ae

242640558 has 48 divisors (see below), whose sum is σ = 560987856. Its totient is φ = 75528960.

The previous prime is 242640557. The next prime is 242640569. The reversal of 242640558 is 855046242.

It is a happy number.

242640558 is a `hidden beast` number, since 2 + 4 + 2 + 640 + 5 + 5 + 8 = 666.

242640558 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2426405583 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242640557) 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 23 ways as a sum of consecutive naturals, for example, 37060 + ... + 43112.

It is an arithmetic number, because the mean of its divisors is an integer number (11687247).

Almost surely, 2242640558 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242640558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280493928).

242640558 is an abundant number, since it is smaller than the sum of its proper divisors (318347298).

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

242640558 is a wasteful number, since it uses less digits than its factorization.

242640558 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6209 (or 6206 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 242640558 is about 15576.9238940171. The cubic root of 242640558 is about 623.7173121666.

The spelling of 242640558 in words is "two hundred forty-two million, six hundred forty thousand, five hundred fifty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 131 153 262 306 393 786 1179 2227 2358 4454 6053 6681 12106 13362 18159 20043 36318 40086 54477 102901 108954 205802 308703 617406 792943 926109 1585886 1852218 2378829 4757658 7136487 13480031 14272974 26960062 40440093 80880186 121320279 242640558