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242596352 = 29659719
BaseRepresentation
bin11100111010110…
…11101000000000
3121220111011122002
432131123220000
5444101040402
640023403132
76004014665
oct1635335000
9556434562
10242596352
11114a37259
12692b34a8
133b34c84b
142430da6c
1516470602
hexe75ba00

242596352 has 40 divisors (see below), whose sum is σ = 486129600. Its totient is φ = 120945664.

The previous prime is 242596331. The next prime is 242596357. The reversal of 242596352 is 253695242.

It is not an unprimeable number, because it can be changed into a prime (242596357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 337049 + ... + 337767.

It is an arithmetic number, because the mean of its divisors is an integer number (12153240).

Almost surely, 2242596352 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 242596352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243064800).

242596352 is an abundant number, since it is smaller than the sum of its proper divisors (243533248).

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

242596352 is an frugal number, since it uses more digits than its factorization.

242596352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1380 counting only the distinct ones).

The product of its digits is 129600, while the sum is 38.

The square root of 242596352 is about 15575.5048714319. The cubic root of 242596352 is about 623.6794320992.

The spelling of 242596352 in words is "two hundred forty-two million, five hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 659 719 1318 1438 2636 2876 5272 5752 10544 11504 21088 23008 42176 46016 84352 92032 168704 184064 337408 368128 473821 947642 1895284 3790568 7581136 15162272 30324544 60649088 121298176 242596352