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64442444 = 221117101853
BaseRepresentation
bin1111010111010…
…1000001001100
311111021000102012
43311311001030
5112444124234
610221120352
71411515563
oct365650114
9144230365
1064442444
1133415620
12196b90b8
1310474031
1487b6bda
1559ce0ce
hex3d7504c

64442444 has 48 divisors (see below), whose sum is σ = 131707296. Its totient is φ = 27264000.

The previous prime is 64442401. The next prime is 64442453. The reversal of 64442444 is 44424446.

64442444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 64442444.

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 15 ways as a sum of consecutive naturals, for example, 75122 + ... + 75974.

It is an arithmetic number, because the mean of its divisors is an integer number (2743902).

Almost surely, 264442444 is an apocalyptic number.

It is an amenable number.

64442444 is an abundant number, since it is smaller than the sum of its proper divisors (67264852).

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

64442444 is a wasteful number, since it uses less digits than its factorization.

64442444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 984 counting only the distinct ones).

The product of its digits is 49152, while the sum is 32.

The square root of 64442444 is about 8027.6051223263. The cubic root of 64442444 is about 400.9196423578.

It can be divided in two parts, 6444 and 2444, that added together give a palindrome (8888).

The spelling of 64442444 in words is "sixty-four million, four hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 4 11 17 22 34 44 68 101 187 202 374 404 748 853 1111 1706 1717 2222 3412 3434 4444 6868 9383 14501 18766 18887 29002 37532 37774 58004 75548 86153 159511 172306 319022 344612 638044 947683 1464601 1895366 2929202 3790732 5858404 16110611 32221222 64442444