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242472208 = 24111917213
BaseRepresentation
bin11100111001111…
…01010100010000
3121220020212100011
432130331110100
5444033102313
640021004304
76002660026
oct1634752420
9556225304
10242472208
11114961a60
1269253694
133b3081a4
14242ba716
151644893d
hexe73d510

242472208 has 40 divisors (see below), whose sum is σ = 515252736. Its totient is φ = 109622400.

The previous prime is 242472203. The next prime is 242472221. The reversal of 242472208 is 802274242.

242472208 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 242472208.

It is not an unprimeable number, because it can be changed into a prime (242472203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30010 + ... + 37222.

Almost surely, 2242472208 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 242472208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257626368).

242472208 is an abundant number, since it is smaller than the sum of its proper divisors (272780528).

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

242472208 is a wasteful number, since it uses less digits than its factorization.

242472208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7423 (or 7417 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 31.

The square root of 242472208 is about 15571.5191294877. The cubic root of 242472208 is about 623.5730286439.

The spelling of 242472208 in words is "two hundred forty-two million, four hundred seventy-two thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 191 382 764 1528 2101 3056 4202 7213 8404 14426 16808 28852 33616 57704 79343 115408 158686 317372 634744 1269488 1377683 2755366 5510732 11021464 15154513 22042928 30309026 60618052 121236104 242472208