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242170542 = 2321719231811
BaseRepresentation
bin11100110111100…
…11101010101110
3121212200112112100
432123303222232
5443443424132
640010315530
76000262365
oct1633635256
9555615470
10242170542
11114776349
1269128ba6
133b230aa3
142423c7dc
15163d937c
hexe6f3aae

242170542 has 96 divisors (see below), whose sum is σ = 610571520. Its totient is φ = 68808960.

The previous prime is 242170507. The next prime is 242170547. The reversal of 242170542 is 245071242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242170547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132817 + ... + 134627.

It is an arithmetic number, because the mean of its divisors is an integer number (6360120).

Almost surely, 2242170542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242170542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305285760).

242170542 is an abundant number, since it is smaller than the sum of its proper divisors (368400978).

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

242170542 is a wasteful number, since it uses less digits than its factorization.

242170542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 242170542 is about 15561.8296482130. The cubic root of 242170542 is about 623.3143201676.

The spelling of 242170542 in words is "two hundred forty-two million, one hundred seventy thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 17 18 19 23 34 38 46 51 57 69 102 114 138 153 171 207 306 323 342 391 414 437 646 782 874 969 1173 1311 1811 1938 2346 2622 2907 3519 3622 3933 5433 5814 7038 7429 7866 10866 14858 16299 22287 30787 32598 34409 41653 44574 61574 66861 68818 83306 92361 103227 124959 133722 184722 206454 249918 277083 309681 374877 554166 584953 619362 708101 749754 791407 1169906 1416202 1582814 1754859 2124303 2374221 3509718 4248606 4748442 5264577 6372909 7122663 10529154 12745818 13453919 14245326 26907838 40361757 80723514 121085271 242170542