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242112052 = 227134116223
BaseRepresentation
bin11100110111001…
…01011000110100
3121212120120022001
432123211120310
5443440041202
640005145044
75666630020
oct1633453064
9555516261
10242112052
11114736406
12690bb184
133b210290
1424225380
15163c6d87
hexe6e5634

242112052 has 48 divisors (see below), whose sum is σ = 534223872. Its totient is φ = 93438720.

The previous prime is 242112043. The next prime is 242112121. The reversal of 242112052 is 250211242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6813 + ... + 23035.

It is an arithmetic number, because the mean of its divisors is an integer number (11129664).

Almost surely, 2242112052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242112052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267111936).

242112052 is an abundant number, since it is smaller than the sum of its proper divisors (292111820).

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

242112052 is a wasteful number, since it uses less digits than its factorization.

242112052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16288 (or 16286 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 242112052 is about 15559.9502569899. The cubic root of 242112052 is about 623.2641343360.

Adding to 242112052 its reverse (250211242), we get a palindrome (492323294).

The spelling of 242112052 in words is "two hundred forty-two million, one hundred twelve thousand, fifty-two".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 182 287 364 533 574 1066 1148 2132 3731 7462 14924 16223 32446 64892 113561 210899 227122 421798 454244 665143 843596 1330286 1476293 2660572 2952586 4656001 5905172 8646859 9312002 17293718 18624004 34587436 60528013 121056026 242112052