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252263305 = 5753239569
BaseRepresentation
bin11110000100100…
…11101110001001
3122120200022012101
433002103232021
51004034411210
641010513401
76152126350
oct1702235611
9576608171
10252263305
1111a43a178
1270595861
1340355938
1425708997
151722ea3a
hexf093b89

252263305 has 32 divisors (see below), whose sum is σ = 354585600. Its totient is φ = 168709632.

The previous prime is 252263303. The next prime is 252263317. The reversal of 252263305 is 503362252.

252263305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252263305 - 21 = 252263303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252263303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443061 + ... + 443629.

It is an arithmetic number, because the mean of its divisors is an integer number (11080800).

Almost surely, 2252263305 is an apocalyptic number.

It is an amenable number.

252263305 is a deficient number, since it is larger than the sum of its proper divisors (102322295).

252263305 is a wasteful number, since it uses less digits than its factorization.

252263305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873.

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 252263305 is about 15882.7990291384. The cubic root of 252263305 is about 631.8558738071.

The spelling of 252263305 in words is "two hundred fifty-two million, two hundred sixty-three thousand, three hundred five".

Divisors: 1 5 7 35 53 239 265 371 569 1195 1673 1855 2845 3983 8365 12667 19915 30157 63335 88669 135991 150785 211099 443345 679955 951937 1055495 4759685 7207523 36037615 50452661 252263305