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242381475 = 32527236691
BaseRepresentation
bin11100111001001…
…11001010100011
3121220002020212200
432130213022203
5444022201400
640015024243
76002131350
oct1634471243
9556066780
10242381475
111148aa876
126920b083
133b2a5abb
1424295627
151642bb00
hexe7272a3

242381475 has 72 divisors (see below), whose sum is σ = 517800192. Its totient is φ = 105969600.

The previous prime is 242381473. The next prime is 242381479. The reversal of 242381475 is 574183242.

It is a happy number.

It is not a de Polignac number, because 242381475 - 21 = 242381473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242381471) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32880 + ... + 39570.

Almost surely, 2242381475 is an apocalyptic number.

242381475 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

242381475 is an abundant number, since it is smaller than the sum of its proper divisors (275418717).

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

242381475 is a wasteful number, since it uses less digits than its factorization.

242381475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6737 (or 6729 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 242381475 is about 15568.6054288751. The cubic root of 242381475 is about 623.4952386836.

The spelling of 242381475 in words is "two hundred forty-two million, three hundred eighty-one thousand, four hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 23 25 35 45 63 69 75 105 115 161 175 207 225 315 345 483 525 575 805 1035 1449 1575 1725 2415 4025 5175 6691 7245 12075 20073 33455 36225 46837 60219 100365 140511 153893 167275 234185 301095 421533 461679 501825 702555 769465 1077251 1170925 1385037 1505475 2107665 2308395 3231753 3512775 3847325 5386255 6925185 9695259 10538325 11541975 16158765 26931275 34625925 48476295 80793825 242381475