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242584656 = 2436178191
BaseRepresentation
bin11100111010110…
…00110001010000
3121220110120120220
432131120301100
5444100202111
640023233040
76003635616
oct1635306120
9556416526
10242584656
11114a29496
12692a8780
133b347422
14243096b6
151646be06
hexe758c50

242584656 has 40 divisors (see below), whose sum is σ = 627769344. Its totient is φ = 80720640.

The previous prime is 242584637. The next prime is 242584663. The reversal of 242584656 is 656485242.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 25521 + ... + 33711.

Almost surely, 2242584656 is an apocalyptic number.

It is an amenable number.

242584656 is an abundant number, since it is smaller than the sum of its proper divisors (385184688).

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

242584656 is a wasteful number, since it uses less digits than its factorization.

242584656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8819 (or 8813 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 242584656 is about 15575.1294055619. The cubic root of 242584656 is about 623.6694090412.

The spelling of 242584656 in words is "two hundred forty-two million, five hundred eighty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 617 1234 1851 2468 3702 4936 7404 8191 9872 14808 16382 24573 29616 32764 49146 65528 98292 131056 196584 393168 5053847 10107694 15161541 20215388 30323082 40430776 60646164 80861552 121292328 242584656