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242364576 = 2536314001
BaseRepresentation
bin11100111001000…
…11000010100000
3121220001101200210
432130203002200
5444021131301
640014414120
76002031156
oct1634430240
9556041623
10242364576
11114899103
1269201340
133b29b1bc
142428d3d6
1516426ad6
hexe7230a0

242364576 has 48 divisors (see below), whose sum is σ = 637374528. Its totient is φ = 80640000.

The previous prime is 242364557. The next prime is 242364587. The reversal of 242364576 is 675463242.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58576 + ... + 62576.

It is an arithmetic number, because the mean of its divisors is an integer number (13278636).

Almost surely, 2242364576 is an apocalyptic number.

It is an amenable number.

242364576 is an abundant number, since it is smaller than the sum of its proper divisors (395009952).

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

242364576 is a wasteful number, since it uses less digits than its factorization.

242364576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4645 (or 4637 counting only the distinct ones).

The product of its digits is 241920, while the sum is 39.

The square root of 242364576 is about 15568.0626925767. The cubic root of 242364576 is about 623.4807481772.

The spelling of 242364576 in words is "two hundred forty-two million, three hundred sixty-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 631 1262 1893 2524 3786 4001 5048 7572 8002 10096 12003 15144 16004 20192 24006 30288 32008 48012 60576 64016 96024 128032 192048 384096 2524631 5049262 7573893 10098524 15147786 20197048 30295572 40394096 60591144 80788192 121182288 242364576