[go: up one dir, main page]

Search a number
-
+
45513405 = 3257220641
BaseRepresentation
bin1010110110011…
…1101010111101
310011122022122200
42231213222331
543122412110
64303302113
71061600100
oct255475275
9104568580
1045513405
1123766993
12132aa939
139577212
14608a737
153ee06c0
hex2b67abd

45513405 has 36 divisors (see below), whose sum is σ = 91774332. Its totient is φ = 20805120.

The previous prime is 45513397. The next prime is 45513407. The reversal of 45513405 is 50431554.

It can be written as a sum of positive squares in 2 ways, for example, as 11431161 + 34082244 = 3381^2 + 5838^2 .

It is not a de Polignac number, because 45513405 - 23 = 45513397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45513407) 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 35 ways as a sum of consecutive naturals, for example, 8116 + ... + 12525.

It is an arithmetic number, because the mean of its divisors is an integer number (2549287).

Almost surely, 245513405 is an apocalyptic number.

45513405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45513405 is an abundant number, since it is smaller than the sum of its proper divisors (46260927).

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

45513405 is a wasteful number, since it uses less digits than its factorization.

45513405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20666 (or 20656 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 45513405 is about 6746.3623531500. The cubic root of 45513405 is about 357.0369050660.

Adding to 45513405 its reverse (50431554), we get a palindrome (95944959).

The spelling of 45513405 in words is "forty-five million, five hundred thirteen thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 20641 61923 103205 144487 185769 309615 433461 722435 928845 1011409 1300383 2167305 3034227 5057045 6501915 9102681 15171135 45513405