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252363013 = 71091132927
BaseRepresentation
bin11110000101011…
…00000100000101
3122120212100222021
433002230010011
51004101104023
641013003141
76153023140
oct1702540405
9576770867
10252363013
1111a4a8081
12706234b1
134038c136
1425733057
151724e35d
hexf0ac105

252363013 has 16 divisors (see below), whose sum is σ = 293736960. Its totient is φ = 212357376.

The previous prime is 252362993. The next prime is 252363019. The reversal of 252363013 is 310363252.

It is a happy number.

It is not a de Polignac number, because 252363013 - 221 = 250265861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252363019) 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 15 ways as a sum of consecutive naturals, for example, 84756 + ... + 87682.

It is an arithmetic number, because the mean of its divisors is an integer number (18358560).

Almost surely, 2252363013 is an apocalyptic number.

It is an amenable number.

252363013 is a deficient number, since it is larger than the sum of its proper divisors (41373947).

252363013 is a wasteful number, since it uses less digits than its factorization.

252363013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156.

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 252363013 is about 15885.9375864316. The cubic root of 252363013 is about 631.9391106283.

It can be divided in two parts, 2523 and 63013, that added together give a 16-th power (65536 = 216).

The spelling of 252363013 in words is "two hundred fifty-two million, three hundred sixty-three thousand, thirteen".

Divisors: 1 7 109 113 763 791 2927 12317 20489 86219 319043 330751 2233301 2315257 36051859 252363013