Search a number
-
+
41463264 = 253521829
BaseRepresentation
bin1001111000101…
…0110111100000
32220000112220110
42132022313200
541103311024
64040411320
71012301103
oct236126740
986015813
1041463264
112144aa67
1211a76b40
13878989b
14571473a
153990629
hex278ade0

41463264 has 48 divisors (see below), whose sum is σ = 109181520. Its totient is φ = 13777920.

The previous prime is 41463251. The next prime is 41463269. The reversal of 41463264 is 46236414.

41463264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41463269) 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 7 ways as a sum of consecutive naturals, for example, 49602 + ... + 50430.

It is an arithmetic number, because the mean of its divisors is an integer number (2274615).

Almost surely, 241463264 is an apocalyptic number.

It is an amenable number.

41463264 is an abundant number, since it is smaller than the sum of its proper divisors (67718256).

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

41463264 is a wasteful number, since it uses less digits than its factorization.

41463264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1355 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 41463264 is about 6439.1974655232. The cubic root of 41463264 is about 346.1155905909.

Adding to 41463264 its reverse (46236414), we get a palindrome (87699678).

The spelling of 41463264 in words is "forty-one million, four hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 521 829 1042 1563 1658 2084 2487 3126 3316 4168 4974 6252 6632 8336 9948 12504 13264 16672 19896 25008 26528 39792 50016 79584 431909 863818 1295727 1727636 2591454 3455272 5182908 6910544 10365816 13821088 20731632 41463264