Search a number
-
+
252528975450 = 232525310588217
BaseRepresentation
bin1110101100101111100…
…1100101111001011010
3220010211011211010020200
43223023321211321122
513114134404203300
6312002112203030
724146621606013
oct3531371457132
9803734733220
10252528975450
1198108028a04
1240b37539476
131aa75cc4b7b
14c31864600a
15687ed6a200
hex3acbe65e5a

252528975450 has 72 divisors (see below), whose sum is σ = 691262400348. Its totient is φ = 66070467840.

The previous prime is 252528975437. The next prime is 252528975451. The reversal of 252528975450 is 54579825252.

252528975450 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 2 + 8 + 97 + 545 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 84885405201 + 167643570249 = 291351^2 + 409443^2 .

It is not an unprimeable number, because it can be changed into a prime (252528975451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5270259 + ... + 5317958.

Almost surely, 2252528975450 is an apocalyptic number.

252528975450 is an abundant number, since it is smaller than the sum of its proper divisors (438733424898).

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

252528975450 is a wasteful number, since it uses less digits than its factorization.

252528975450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10588288 (or 10588280 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 252528975450 in words is "two hundred fifty-two billion, five hundred twenty-eight million, nine hundred seventy-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 53 75 90 106 150 159 225 265 318 450 477 530 795 954 1325 1590 2385 2650 3975 4770 7950 11925 23850 10588217 21176434 31764651 52941085 63529302 95293953 105882170 158823255 190587906 264705425 317646510 476469765 529410850 561175501 794116275 952939530 1122351002 1588232550 1683526503 2382348825 2805877505 3367053006 4764697650 5050579509 5611755010 8417632515 10101159018 14029387525 16835265030 25252897545 28058775050 42088162575 50505795090 84176325150 126264487725 252528975450