Search a number
-
+
45421875 = 32561719
BaseRepresentation
bin1010110101000…
…1010100110011
310011110200002200
42231101110303
543112000000
64301314243
71061036202
oct255212463
9104420080
1045421875
1123704144
1213265983
139544665
146065239
153ec3500
hex2b51533

45421875 has 84 divisors (see below), whose sum is σ = 91405080. Its totient is φ = 21600000.

The previous prime is 45421853. The next prime is 45421877. The reversal of 45421875 is 57812454.

45421875 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45421875 - 25 = 45421843 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45421877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2390616 + ... + 2390634.

Almost surely, 245421875 is an apocalyptic number.

45421875 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45421875 is an abundant number, since it is smaller than the sum of its proper divisors (45983205).

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

45421875 is an equidigital number, since it uses as much as digits as its factorization.

45421875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 44 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 45421875 is about 6739.5752833543. The cubic root of 45421875 is about 356.7974040570.

The spelling of 45421875 in words is "forty-five million, four hundred twenty-one thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 15 17 19 25 45 51 57 75 85 95 125 153 171 225 255 285 323 375 425 475 625 765 855 969 1125 1275 1425 1615 1875 2125 2375 2907 3125 3825 4275 4845 5625 6375 7125 8075 9375 10625 11875 14535 15625 19125 21375 24225 28125 31875 35625 40375 46875 53125 59375 72675 95625 106875 121125 140625 159375 178125 201875 265625 296875 363375 478125 534375 605625 796875 890625 1009375 1816875 2390625 2671875 3028125 5046875 9084375 15140625 45421875