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42644264 = 23134173137
BaseRepresentation
bin1010001010101…
…1001100101000
32222020112221012
42202223030220
541404104024
64122003052
71025320205
oct242531450
988215835
1042644264
11220872a3
1212346488
138ab12c0
145940cac
153b2550e
hex28ab328

42644264 has 64 divisors (see below), whose sum is σ = 90069840. Its totient is φ = 18800640.

The previous prime is 42644257. The next prime is 42644269. The reversal of 42644264 is 46244624.

It can be written as a sum of positive squares in 8 ways, for example, as 6041764 + 36602500 = 2458^2 + 6050^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 42644264.

It is not an unprimeable number, because it can be changed into a prime (42644269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311204 + ... + 311340.

Almost surely, 242644264 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 42644264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45034920).

42644264 is an abundant number, since it is smaller than the sum of its proper divisors (47425576).

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

42644264 is a wasteful number, since it uses less digits than its factorization.

42644264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 266 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The square root of 42644264 is about 6530.2575753181. The cubic root of 42644264 is about 349.3710172751.

Adding to 42644264 its reverse (46244624), we get a palindrome (88888888).

The spelling of 42644264 in words is "forty-two million, six hundred forty-four thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 26 41 52 73 82 104 137 146 164 274 292 328 533 548 584 949 1066 1096 1781 1898 2132 2993 3562 3796 4264 5617 5986 7124 7592 10001 11234 11972 14248 20002 22468 23944 38909 40004 44936 73021 77818 80008 130013 146042 155636 260026 292084 311272 410041 520052 584168 820082 1040104 1640164 3280328 5330533 10661066 21322132 42644264