Search a number
-
+
2445000525 = 335211329293
BaseRepresentation
bin1001000110111011…
…1011111101001101
320022101200220012000
42101232323331031
520001410004100
61042340502513
7114406106262
oct22156737515
96271626160
102445000525
1110451590a0
125829aaa39
132cc713596
14192a15269
15e49b4900
hex91bbbf4d

2445000525 has 48 divisors (see below), whose sum is σ = 4899894720. Its totient is φ = 1185451200.

The previous prime is 2445000479. The next prime is 2445000529. The reversal of 2445000525 is 5250005442.

It is not a de Polignac number, because 2445000525 - 29 = 2445000013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2445000529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157222 + ... + 172071.

It is an arithmetic number, because the mean of its divisors is an integer number (102081140).

Almost surely, 22445000525 is an apocalyptic number.

2445000525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2445000525 is an abundant number, since it is smaller than the sum of its proper divisors (2454894195).

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

2445000525 is a wasteful number, since it uses less digits than its factorization.

2445000525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329323 (or 329312 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 2445000525 is about 49446.9465690249. The cubic root of 2445000525 is about 1347.1821470836.

Adding to 2445000525 its reverse (5250005442), we get a palindrome (7695005967).

The spelling of 2445000525 in words is "two billion, four hundred forty-five million, five hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 2475 7425 329293 987879 1646465 2963637 3622223 4939395 8232325 8890911 10866669 14818185 18111115 24696975 32600007 44454555 54333345 74090925 90555575 97800021 163000035 222272775 271666725 489000105 815000175 2445000525