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64444200 = 23352195653
BaseRepresentation
bin1111010111010…
…1011100101000
311111021002211020
43311311130220
5112444203300
610221132440
71411523652
oct365653450
9144232736
1064444200
1133416977
12196ba120
1310474a82
1487b76d2
1559ce8a0
hex3d75728

64444200 has 96 divisors (see below), whose sum is σ = 210328800. Its totient is φ = 16277760.

The previous prime is 64444187. The next prime is 64444201. The reversal of 64444200 is 244446.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (64444201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8574 + ... + 14226.

It is an arithmetic number, because the mean of its divisors is an integer number (2190925).

Almost surely, 264444200 is an apocalyptic number.

64444200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105164400).

64444200 is an abundant number, since it is smaller than the sum of its proper divisors (145884600).

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

64444200 is a wasteful number, since it uses less digits than its factorization.

64444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5691 (or 5682 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 64444200 is about 8027.7144941758. The cubic root of 64444200 is about 400.9232838941.

Adding to 64444200 its reverse (244446), we get a palindrome (64688646).

It can be divided in two parts, 644 and 44200, that added together give a palindrome (44844).

The spelling of 64444200 in words is "sixty-four million, four hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5653 5700 11306 11400 16959 22612 28265 33918 45224 56530 67836 84795 107407 113060 135672 141325 169590 214814 226120 282650 322221 339180 423975 429628 537035 565300 644442 678360 847950 859256 1074070 1130600 1288884 1611105 1695900 2148140 2577768 2685175 3222210 3391800 4296280 5370350 6444420 8055525 10740700 12888840 16111050 21481400 32222100 64444200