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64042600 = 2352320213
BaseRepresentation
bin1111010001001…
…1011001101000
311110111200221011
43310103121220
5112343330400
610204353304
71405232056
oct364233150
9143450834
1064042600
1133172176
1219545834
131036403b
1487111d6
1559508ba
hex3d13668

64042600 has 24 divisors (see below), whose sum is σ = 148899510. Its totient is φ = 25616960.

The previous prime is 64042591. The next prime is 64042607. The reversal of 64042600 is 624046.

64042600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 26563716 + 37478884 = 5154^2 + 6122^2 .

It is a super-2 number, since 2×640426002 = 8202909229520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64042607) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 159907 + ... + 160306.

Almost surely, 264042600 is an apocalyptic number.

It is an amenable number.

64042600 is an abundant number, since it is smaller than the sum of its proper divisors (84856910).

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

64042600 is a wasteful number, since it uses less digits than its factorization.

64042600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320229 (or 320220 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 64042600 is about 8002.6620570908. The cubic root of 64042600 is about 400.0887303159.

Adding to 64042600 its reverse (624046), we get a palindrome (64666646).

The spelling of 64042600 in words is "sixty-four million, forty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 320213 640426 1280852 1601065 2561704 3202130 6404260 8005325 12808520 16010650 32021300 64042600