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51840459225 = 32524323532
BaseRepresentation
bin110000010001111011…
…101010000111011001
311221210211222012001100
4300101323222013121
51322132124143400
635452024542013
73513440430042
oct602173520731
9157724865040
1051840459225
111aa92651335
12a069321909
134b72157659
14271ad398c9
151536241100
hexc11eea1d9

51840459225 has 81 divisors (see below), whose sum is σ = 95331648477. Its totient is φ = 26928760320.

The previous prime is 51840459169. The next prime is 51840459271. The reversal of 51840459225 is 52295404815.

The square root of 51840459225 is 227685.

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

51840459225 is a `hidden beast` number, since 5 + 18 + 40 + 4 + 592 + 2 + 5 = 666.

51840459225 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 2838438729 + 49002020496 = 53277^2 + 221364^2 .

It is not a de Polignac number, because 51840459225 - 227 = 51706241497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 146856649 + ... + 146857001.

Almost surely, 251840459225 is an apocalyptic number.

51840459225 is the 227685-th square number.

51840459225 is the 113843-rd centered octagonal number.

It is an amenable number.

51840459225 is a deficient number, since it is larger than the sum of its proper divisors (43491189252).

51840459225 is an equidigital number, since it uses as much as digits as its factorization.

51840459225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 51840459225 in words is "fifty-one billion, eight hundred forty million, four hundred fifty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 43 45 75 129 215 225 353 387 645 1059 1075 1765 1849 1935 3177 3225 5295 5547 8825 9245 9675 15179 15885 16641 26475 27735 45537 46225 75895 79425 83205 124609 136611 138675 227685 373827 379475 416025 623045 652697 683055 1121481 1138425 1869135 1958091 3115225 3263485 3415275 5358187 5607405 5874273 9345675 9790455 16074561 16317425 26790935 28037025 29371365 48223683 48952275 80372805 133954675 146856825 230402041 241118415 401864025 691206123 1152010205 1205592075 2073618369 3456030615 5760051025 10368091845 17280153075 51840459225