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66440440 = 23511314871
BaseRepresentation
bin1111110101110…
…0110011111000
311122000112011001
43331130303320
5114002043230
610332014344
71434506623
oct375346370
9148015131
1066440440
113455a760
121a3013b4
13109c3591
148b76dba
155c760ca
hex3f5ccf8

66440440 has 64 divisors (see below), whose sum is σ = 168376320. Its totient is φ = 23376000.

The previous prime is 66440401. The next prime is 66440447. The reversal of 66440440 is 4404466.

It is a junction number, because it is equal to n+sod(n) for n = 66440399 and 66440408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66440447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11205 + ... + 16075.

It is an arithmetic number, because the mean of its divisors is an integer number (2630880).

Almost surely, 266440440 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 66440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84188160).

66440440 is an abundant number, since it is smaller than the sum of its proper divisors (101935880).

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

66440440 is a wasteful number, since it uses less digits than its factorization.

66440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4924 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 66440440 is about 8151.1005391910. The cubic root of 66440440 is about 405.0209611668.

It can be divided in two parts, 6 and 6440440, that added together give a palindrome (6440446).

The spelling of 66440440 in words is "sixty-six million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 4871 6820 9742 13640 19484 24355 38968 48710 53581 97420 107162 151001 194840 214324 267905 302002 428648 535810 604004 755005 1071620 1208008 1510010 1661011 2143240 3020020 3322022 6040040 6644044 8305055 13288088 16610110 33220220 66440440