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242301828 = 223311016449
BaseRepresentation
bin11100111000100…
…11101110000100
3121212221012121210
432130103232010
5444012124303
640013211420
76001350216
oct1634235604
9555835553
10242301828
11114855a4a
1269190b70
133b278782
14242745b6
1516413203
hexe713b84

242301828 has 48 divisors (see below), whose sum is σ = 589478400. Its totient is φ = 77376000.

The previous prime is 242301827. The next prime is 242301847. The reversal of 242301828 is 828103242.

242301828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242301795 and 242301804.

It is not an unprimeable number, because it can be changed into a prime (242301823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34348 + ... + 40796.

It is an arithmetic number, because the mean of its divisors is an integer number (12280800).

Almost surely, 2242301828 is an apocalyptic number.

It is an amenable number.

242301828 is an abundant number, since it is smaller than the sum of its proper divisors (347176572).

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

242301828 is a wasteful number, since it uses less digits than its factorization.

242301828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6588 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 242301828 is about 15566.0472824671. The cubic root of 242301828 is about 623.4269373064.

The spelling of 242301828 in words is "two hundred forty-two million, three hundred one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 31 62 93 101 124 186 202 303 372 404 606 1212 3131 6262 6449 9393 12524 12898 18786 19347 25796 37572 38694 77388 199919 399838 599757 651349 799676 1199514 1302698 1954047 2399028 2605396 3908094 7816188 20191819 40383638 60575457 80767276 121150914 242301828