Search a number
-
+
45125040 = 2435188021
BaseRepresentation
bin1010110000100…
…0110110110000
310010220120220210
42230020312300
543023000130
64251104120
71055361612
oct254106660
9103816823
1045125040
1123521124
1213142040
13946c50c
145dc8db2
153e655b0
hex2b08db0

45125040 has 40 divisors (see below), whose sum is σ = 139888368. Its totient is φ = 12033280.

The previous prime is 45125033. The next prime is 45125053. The reversal of 45125040 is 4052154.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 45124998 and 45125016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93771 + ... + 94250.

Almost surely, 245125040 is an apocalyptic number.

45125040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45125040 is an abundant number, since it is smaller than the sum of its proper divisors (94763328).

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

45125040 is a wasteful number, since it uses less digits than its factorization.

45125040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188037 (or 188031 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 45125040 is about 6717.5173985633. The cubic root of 45125040 is about 356.0184731398.

Adding to 45125040 its reverse (4052154), we get a palindrome (49177194).

The spelling of 45125040 in words is "forty-five million, one hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 188021 376042 564063 752084 940105 1128126 1504168 1880210 2256252 2820315 3008336 3760420 4512504 5640630 7520840 9025008 11281260 15041680 22562520 45125040