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64440420 = 223511163599
BaseRepresentation
bin1111010111010…
…0100001100100
311111020220122020
43311310201210
5112444043140
610221103140
71411506642
oct365644144
9144226566
1064440420
1133414050
12196b7ab0
1310473135
1487b6192
1559cd6d0
hex3d74864

64440420 has 96 divisors (see below), whose sum is σ = 198374400. Its totient is φ = 15500160.

The previous prime is 64440403. The next prime is 64440427. The reversal of 64440420 is 2404446.

64440420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (64440427) 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 31 ways as a sum of consecutive naturals, for example, 107281 + ... + 107879.

It is an arithmetic number, because the mean of its divisors is an integer number (2066400).

Almost surely, 264440420 is an apocalyptic number.

64440420 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 64440420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99187200).

64440420 is an abundant number, since it is smaller than the sum of its proper divisors (133933980).

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

64440420 is a wasteful number, since it uses less digits than its factorization.

64440420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 783 counting only the distinct ones).

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

The square root of 64440420 is about 8027.4790563414. The cubic root of 64440420 is about 400.9154449696.

Adding to 64440420 its reverse (2404446), we get a palindrome (66844866).

The spelling of 64440420 in words is "sixty-four million, four hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 163 165 220 326 330 489 599 652 660 815 978 1198 1630 1793 1797 1956 2396 2445 2995 3260 3586 3594 4890 5379 5990 6589 7172 7188 8965 8985 9780 10758 11980 13178 17930 17970 19767 21516 26356 26895 32945 35860 35940 39534 53790 65890 79068 97637 98835 107580 131780 195274 197670 292911 390548 395340 488185 585822 976370 1074007 1171644 1464555 1952740 2148014 2929110 3222021 4296028 5370035 5858220 6444042 10740070 12888084 16110105 21480140 32220210 64440420