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64375400 = 23521092953
BaseRepresentation
bin1111010110010…
…0101001101000
311111010121110002
43311210221220
5112440003100
610215442132
71411116245
oct365445150
9144117402
1064375400
113337a211
1219686348
131044c66b
14879a5cc
1559b92d5
hex3d64a68

64375400 has 48 divisors (see below), whose sum is σ = 151097100. Its totient is φ = 25505280.

The previous prime is 64375397. The next prime is 64375427. The reversal of 64375400 is 457346.

64375400 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 6 ways, for example, as 40424164 + 23951236 = 6358^2 + 4894^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20324 + ... + 23276.

Almost surely, 264375400 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 64375400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75548550).

64375400 is an abundant number, since it is smaller than the sum of its proper divisors (86721700).

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

64375400 is a wasteful number, since it uses less digits than its factorization.

64375400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 64375400 is about 8023.4281949800. The cubic root of 64375400 is about 400.7805591610.

The spelling of 64375400 in words is "sixty-four million, three hundred seventy-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 2180 2725 2953 4360 5450 5906 10900 11812 14765 21800 23624 29530 59060 73825 118120 147650 295300 321877 590600 643754 1287508 1609385 2575016 3218770 6437540 8046925 12875080 16093850 32187700 64375400