Search a number
-
+
252555975 = 355275939
BaseRepresentation
bin11110000110110…
…11001011000111
3122121020011200000
433003123023013
51004123242400
641021052343
76154455540
oct1703331307
9577204600
10252555975
1111a61a051
12706b70b3
1340428c09
14257834c7
151728b600
hexf0db2c7

252555975 has 72 divisors (see below), whose sum is σ = 536215680. Its totient is φ = 115434720.

The previous prime is 252555973. The next prime is 252555991. The reversal of 252555975 is 579555252.

It is a happy number.

252555975 is a `hidden beast` number, since 2 + 5 + 2 + 55 + 597 + 5 = 666.

It is not a de Polignac number, because 252555975 - 21 = 252555973 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 252555975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252555973) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39556 + ... + 45494.

It is an arithmetic number, because the mean of its divisors is an integer number (7447440).

Almost surely, 2252555975 is an apocalyptic number.

252555975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

252555975 is an abundant number, since it is smaller than the sum of its proper divisors (283659705).

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

252555975 is an equidigital number, since it uses as much as digits as its factorization.

252555975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5971 (or 5954 counting only the distinct ones).

The product of its digits is 787500, while the sum is 45.

The square root of 252555975 is about 15892.0097847944. The cubic root of 252555975 is about 632.1001341833.

The spelling of 252555975 in words is "two hundred fifty-two million, five hundred fifty-five thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 243 315 405 525 567 675 945 1215 1575 1701 2025 2835 4725 5939 6075 8505 14175 17817 29695 41573 42525 53451 89085 124719 148475 160353 207865 267255 374157 445425 481059 623595 801765 1039325 1122471 1336275 1443177 1870785 2405295 3117975 3367413 4008825 5612355 7215885 9353925 10102239 12026475 16837065 28061775 36079425 50511195 84185325 252555975