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242475714 = 233132111637
BaseRepresentation
bin11100111001111…
…10001011000010
3121220021001011000
432130332023002
5444033210324
640021032430
76003003165
oct1634761302
9556231130
10242475714
11114964658
1269255716
133b309970
14242bbadc
15164499c9
hexe73e2c2

242475714 has 64 divisors (see below), whose sum is σ = 583390080. Its totient is φ = 74208960.

The previous prime is 242475713. The next prime is 242475733. The reversal of 242475714 is 417574242.

242475714 is a `hidden beast` number, since 2 + 42 + 47 + 571 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (242475713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147304 + ... + 148940.

It is an arithmetic number, because the mean of its divisors is an integer number (9115470).

Almost surely, 2242475714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242475714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291695040).

242475714 is an abundant number, since it is smaller than the sum of its proper divisors (340914366).

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

242475714 is a wasteful number, since it uses less digits than its factorization.

242475714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1866 counting only the distinct ones).

The product of its digits is 62720, while the sum is 36.

The square root of 242475714 is about 15571.6317064076. The cubic root of 242475714 is about 623.5760341244.

The spelling of 242475714 in words is "two hundred forty-two million, four hundred seventy-five thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 211 234 351 422 633 702 1266 1637 1899 2743 3274 3798 4911 5486 5697 8229 9822 11394 14733 16458 21281 24687 29466 42562 44199 49374 63843 74061 88398 127686 148122 191529 345407 383058 574587 690814 1036221 1149174 2072442 3108663 4490291 6217326 8980582 9325989 13470873 18651978 26941746 40412619 80825238 121237857 242475714