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242587494 = 23329971597
BaseRepresentation
bin11100111010110…
…01011101100110
3121220110201111000
432131121131212
5444100244434
640023254130
76003650112
oct1635313546
9556421430
10242587494
11114a30636
12692aa346
133b3487c6
142430a742
151646cb99
hexe759766

242587494 has 64 divisors (see below), whose sum is σ = 563774400. Its totient is φ = 77220864.

The previous prime is 242587489. The next prime is 242587507. The reversal of 242587494 is 494785242.

242587494 is a `hidden beast` number, since 24 + 2 + 587 + 49 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151104 + ... + 152700.

It is an arithmetic number, because the mean of its divisors is an integer number (8808975).

Almost surely, 2242587494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242587494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281887200).

242587494 is an abundant number, since it is smaller than the sum of its proper divisors (321186906).

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

242587494 is a wasteful number, since it uses less digits than its factorization.

242587494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1728 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 242587494 is about 15575.2205120826. The cubic root of 242587494 is about 623.6718411364.

The spelling of 242587494 in words is "two hundred forty-two million, five hundred eighty-seven thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 97 174 194 261 291 522 582 783 873 1566 1597 1746 2619 2813 3194 4791 5238 5626 8439 9582 14373 16878 25317 28746 43119 46313 50634 75951 86238 92626 138939 151902 154909 277878 309818 416817 464727 833634 929454 1250451 1394181 2500902 2788362 4182543 4492361 8365086 8984722 13477083 26954166 40431249 80862498 121293747 242587494