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242742968 = 23134753937
BaseRepresentation
bin11100111011111…
…11011010111000
3121220202121202022
432131333122320
5444120233333
640030454012
76005165306
oct1635773270
9556677668
10242742968
11115027426
1269364308
133b3a14c0
142434b276
151649dc98
hexe77f6b8

242742968 has 64 divisors (see below), whose sum is σ = 510572160. Its totient is φ = 107467776.

The previous prime is 242742959. The next prime is 242742971. The reversal of 242742968 is 869247242.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258596 + ... + 259532.

It is an arithmetic number, because the mean of its divisors is an integer number (7977690).

Almost surely, 2242742968 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 242742968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255286080).

242742968 is an abundant number, since it is smaller than the sum of its proper divisors (267829192).

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

242742968 is a wasteful number, since it uses less digits than its factorization.

242742968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1052 counting only the distinct ones).

The product of its digits is 387072, while the sum is 44.

The square root of 242742968 is about 15580.2107816294. The cubic root of 242742968 is about 623.8050494986.

The spelling of 242742968 in words is "two hundred forty-two million, seven hundred forty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 26 47 52 53 94 104 106 188 212 376 424 611 689 937 1222 1378 1874 2444 2491 2756 3748 4888 4982 5512 7496 9964 12181 19928 24362 32383 44039 48724 49661 64766 88078 97448 99322 129532 176156 198644 259064 352312 397288 572507 645593 1145014 1291186 2290028 2334067 2582372 4580056 4668134 5164744 9336268 18672536 30342871 60685742 121371484 242742968