[go: up one dir, main page]

Search a number
-
+
1045024425 = 325217299421
BaseRepresentation
bin111110010010011…
…100111010101001
32200211101202000100
4332102130322221
54120011240200
6251410300013
734616363304
oct7622347251
92624352010
101045024425
11496986355
12251b87609
13138672963
149cb0bb3b
1561b26d00
hex3e49cea9

1045024425 has 72 divisors (see below), whose sum is σ = 2050415640. Its totient is φ = 506419200.

The previous prime is 1045024397. The next prime is 1045024427. The reversal of 1045024425 is 5244205401.

It can be written as a sum of positive squares in 12 ways, for example, as 209351961 + 835672464 = 14469^2 + 28908^2 .

It is not a de Polignac number, because 1045024425 - 26 = 1045024361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1045024427) 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 71 ways as a sum of consecutive naturals, for example, 106215 + ... + 115635.

It is an arithmetic number, because the mean of its divisors is an integer number (28477995).

Almost surely, 21045024425 is an apocalyptic number.

1045024425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1045024425 is a deficient number, since it is larger than the sum of its proper divisors (1005391215).

1045024425 is a wasteful number, since it uses less digits than its factorization.

1045024425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9483 (or 9475 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 1045024425 is about 32326.8375347791. The cubic root of 1045024425 is about 1014.7883677933.

Adding to 1045024425 its reverse (5244205401), we get a palindrome (6289229826).

The spelling of 1045024425 in words is "one billion, forty-five million, twenty-four thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 29 45 51 75 85 87 145 153 225 255 261 425 435 493 725 765 1275 1305 1479 2175 2465 3825 4437 6525 7395 9421 12325 22185 28263 36975 47105 84789 110925 141315 160157 235525 273209 423945 480471 706575 800785 819627 1366045 1441413 2119725 2402355 2458881 4003925 4098135 4644553 6830225 7207065 12011775 12294405 13933659 20490675 23222765 36035325 41800977 61472025 69668295 116113825 209004885 348341475 1045024425