Search a number
-
+
1040544544 = 251319712697
BaseRepresentation
bin111110000001010…
…111001100100000
32200111222010202211
4332001113030200
54112334411134
6251130251504
734533324364
oct7601271440
92614863684
101040544544
114943a6576
12250586b94
13137764840
149c2a32a4
156153e764
hex3e057320

1040544544 has 48 divisors (see below), whose sum is σ = 2217527928. Its totient is φ = 477775872.

The previous prime is 1040544539. The next prime is 1040544553. The reversal of 1040544544 is 4454450401.

It can be written as a sum of positive squares in 4 ways, for example, as 863654544 + 176890000 = 29388^2 + 13300^2 .

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 7 ways as a sum of consecutive naturals, for example, 75604 + ... + 88300.

Almost surely, 21040544544 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 1040544544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108763964).

1040544544 is an abundant number, since it is smaller than the sum of its proper divisors (1176983384).

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

1040544544 is a wasteful number, since it uses less digits than its factorization.

1040544544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12917 (or 12909 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

The square root of 1040544544 is about 32257.4726846354. The cubic root of 1040544544 is about 1013.3362030544.

Adding to 1040544544 its reverse (4454450401), we get a palindrome (5494994945).

The spelling of 1040544544 in words is "one billion, forty million, five hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 197 208 394 416 788 1576 2561 3152 5122 6304 10244 12697 20488 25394 40976 50788 81952 101576 165061 203152 330122 406304 660244 1320488 2501309 2640976 5002618 5281952 10005236 20010472 32517017 40020944 65034034 80041888 130068068 260136136 520272272 1040544544