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242687616 = 2736191021
BaseRepresentation
bin11100111011100…
…01111010000000
3121220122210211020
432131301322000
5444112000431
640025345440
76004545033
oct1635617200
9556583736
10242687616
11114a99886
1269338280
133b382252
142433501a
151648c696
hexe771e80

242687616 has 64 divisors (see below), whose sum is σ = 646312800. Its totient is φ = 80686080.

The previous prime is 242687609. The next prime is 242687647. The reversal of 242687616 is 616786242.

242687616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237186 + ... + 238206.

Almost surely, 2242687616 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 242687616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323156400).

242687616 is an abundant number, since it is smaller than the sum of its proper divisors (403625184).

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

242687616 is a wasteful number, since it uses less digits than its factorization.

242687616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1645 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 242687616 is about 15578.4343244114. The cubic root of 242687616 is about 623.7576310540.

The spelling of 242687616 in words is "two hundred forty-two million, six hundred eighty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 619 1021 1238 1857 2042 2476 3063 3714 4084 4952 6126 7428 8168 9904 12252 14856 16336 19808 24504 29712 32672 39616 49008 59424 65344 79232 98016 118848 130688 196032 237696 392064 631999 1263998 1895997 2527996 3791994 5055992 7583988 10111984 15167976 20223968 30335952 40447936 60671904 80895872 121343808 242687616