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242125568 = 288910627
BaseRepresentation
bin11100110111010…
…00101100000000
3121212121020211122
432123220230000
5443441004233
640005331412
76000014306
oct1633505400
9555536748
10242125568
11114745583
1269106b68
133b216489
142422a276
15163cad98
hexe6e8b00

242125568 has 36 divisors (see below), whose sum is σ = 488781720. Its totient is φ = 119691264.

The previous prime is 242125547. The next prime is 242125591. The reversal of 242125568 is 865521242.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17471 + ... + 28097.

It is an arithmetic number, because the mean of its divisors is an integer number (13577270).

Almost surely, 2242125568 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 242125568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244390860).

242125568 is an abundant number, since it is smaller than the sum of its proper divisors (246656152).

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

242125568 is an equidigital number, since it uses as much as digits as its factorization.

242125568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10732 (or 10718 counting only the distinct ones).

The product of its digits is 38400, while the sum is 35.

The square root of 242125568 is about 15560.3845710831. The cubic root of 242125568 is about 623.2757321083.

The spelling of 242125568 in words is "two hundred forty-two million, one hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 712 1424 2848 5696 10627 11392 21254 22784 42508 85016 170032 340064 680128 945803 1360256 1891606 2720512 3783212 7566424 15132848 30265696 60531392 121062784 242125568