Search a number
-
+
45730125 = 325375807
BaseRepresentation
bin1010111001110…
…0100101001101
310012001022221100
42232130211031
543201331000
64312053313
71063461660
oct256344515
9105038840
1045730125
11238a47a1
1213394239
139621a5c
1461056d7
154034a00
hex2b9c94d

45730125 has 48 divisors (see below), whose sum is σ = 94228992. Its totient is φ = 20901600.

The previous prime is 45730121. The next prime is 45730151. The reversal of 45730125 is 52103754.

It is a happy number.

It is not a de Polignac number, because 45730125 - 22 = 45730121 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45730121) 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, 4972 + ... + 10778.

It is an arithmetic number, because the mean of its divisors is an integer number (1963104).

Almost surely, 245730125 is an apocalyptic number.

45730125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45730125 is an abundant number, since it is smaller than the sum of its proper divisors (48498867).

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

45730125 is a wasteful number, since it uses less digits than its factorization.

45730125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5835 (or 5822 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 45730125 is about 6762.4052673586. The cubic root of 45730125 is about 357.6027057510.

Adding to 45730125 its reverse (52103754), we get a palindrome (97833879).

The spelling of 45730125 in words is "forty-five million, seven hundred thirty thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 525 875 1125 1575 2625 5807 7875 17421 29035 40649 52263 87105 121947 145175 203245 261315 365841 435525 609735 725875 1016225 1306575 1829205 2177625 3048675 5081125 6532875 9146025 15243375 45730125