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242678172 = 2231117310627
BaseRepresentation
bin11100111011011…
…11100110011100
3121220122022212110
432131233212130
5444111200142
640025234020
76004505352
oct1635574634
9556568773
10242678172
11114a92780
1269332910
133b37ab69
14243317d2
151648999c
hexe76f99c

242678172 has 48 divisors (see below), whose sum is σ = 621355392. Its totient is φ = 73106880.

The previous prime is 242678159. The next prime is 242678173. The reversal of 242678172 is 271876242.

It is a super-3 number, since 3×2426781723 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242678172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242678173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17523 + ... + 28149.

It is an arithmetic number, because the mean of its divisors is an integer number (12944904).

Almost surely, 2242678172 is an apocalyptic number.

242678172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242678172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310677696).

242678172 is an abundant number, since it is smaller than the sum of its proper divisors (378677220).

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

242678172 is a wasteful number, since it uses less digits than its factorization.

242678172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10818 (or 10816 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 242678172 is about 15578.1312101292. The cubic root of 242678172 is about 623.7495399346.

The spelling of 242678172 in words is "two hundred forty-two million, six hundred seventy-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 173 346 519 692 1038 1903 2076 3806 5709 7612 10627 11418 21254 22836 31881 42508 63762 116897 127524 233794 350691 467588 701382 1402764 1838471 3676942 5515413 7353884 11030826 20223181 22061652 40446362 60669543 80892724 121339086 242678172