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252596241 = 32196312341
BaseRepresentation
bin11110000111001…
…01000000010001
3122121022012220100
433003211000101
51004131034431
641022003013
76155014122
oct1703450021
9577265810
10252596241
1111a647327
1270716469
1340441341
1425794049
15172984e6
hexf0e5011

252596241 has 24 divisors (see below), whose sum is σ = 384837440. Its totient is φ = 159213600.

The previous prime is 252596219. The next prime is 252596261. The reversal of 252596241 is 142695252.

252596241 is a `hidden beast` number, since 2 + 5 + 25 + 9 + 624 + 1 = 666.

It is not a de Polignac number, because 252596241 - 25 = 252596209 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 252596196 and 252596205.

It is not an unprimeable number, because it can be changed into a prime (252596261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106731 + ... + 109071.

Almost surely, 2252596241 is an apocalyptic number.

It is an amenable number.

252596241 is a deficient number, since it is larger than the sum of its proper divisors (132241199).

252596241 is a wasteful number, since it uses less digits than its factorization.

252596241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2994 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 252596241 is about 15893.2765973540. The cubic root of 252596241 is about 632.1337251413.

The spelling of 252596241 in words is "two hundred fifty-two million, five hundred ninety-six thousand, two hundred forty-one".

Divisors: 1 3 9 19 57 171 631 1893 2341 5679 7023 11989 21069 35967 44479 107901 133437 400311 1477171 4431513 13294539 28066249 84198747 252596241