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45765225 = 3252112412
BaseRepresentation
bin1010111010010…
…1001001101001
310012010010002100
42232211021221
543203441400
64312524013
71063666212
oct256451151
9105103070
1045765225
1123919100
12133b0609
139634a1c
146114409
154040100
hex2ba5269

45765225 has 81 divisors (see below), whose sum is σ = 92351077. Its totient is φ = 21648000.

The previous prime is 45765217. The next prime is 45765227. The reversal of 45765225 is 52256754.

Multipling 45765225 by its sum of digits (36), we get a square (1647548100 = 405902).

It can be divided in two parts, 4576 and 5225, that added together give a square (9801 = 992).

The square root of 45765225 is 6765.

It is a perfect power (a square), and thus also a powerful number.

45765225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19263321 + 26501904 = 4389^2 + 5148^2 .

It is not a de Polignac number, because 45765225 - 23 = 45765217 is a prime.

It is a Duffinian number.

Its product of digits (84000) is a multiple of the sum of its prime divisors (60).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 45765225.

It is not an unprimeable number, because it can be changed into a prime (45765227) 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 80 ways as a sum of consecutive naturals, for example, 1116205 + ... + 1116245.

Almost surely, 245765225 is an apocalyptic number.

45765225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45765225 is the 6765-th square number.

45765225 is the 3383-rd centered octagonal number.

It is an amenable number.

45765225 is an abundant number, since it is smaller than the sum of its proper divisors (46585852).

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

45765225 is a wasteful number, since it uses less digits than its factorization.

45765225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 60 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The cubic root of 45765225 is about 357.6941745947.

The spelling of 45765225 in words is "forty-five million, seven hundred sixty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 41 45 55 75 99 121 123 165 205 225 275 363 369 451 495 605 615 825 1025 1089 1353 1681 1815 1845 2255 2475 3025 3075 4059 4961 5043 5445 6765 8405 9075 9225 11275 14883 15129 18491 20295 24805 25215 27225 33825 42025 44649 55473 74415 75645 92455 101475 124025 126075 166419 203401 223245 277365 372075 378225 462275 610203 832095 1017005 1116225 1386825 1830609 3051015 4160475 5085025 9153045 15255075 45765225