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252182007 = 327111033533
BaseRepresentation
bin11110000011111…
…11110111110111
3122120112011200100
433001333313313
51004024311012
641005045143
76151340340
oct1701776767
9576464610
10252182007
1111a394090
12705567b3
134032792c
14256c70c7
15172158dc
hexf07fdf7

252182007 has 48 divisors (see below), whose sum is σ = 458684928. Its totient is φ = 129695040.

The previous prime is 252181997. The next prime is 252182023. The reversal of 252182007 is 700281252.

It is not a de Polignac number, because 252182007 - 27 = 252181879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252182407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69613 + ... + 73145.

It is an arithmetic number, because the mean of its divisors is an integer number (9555936).

Almost surely, 2252182007 is an apocalyptic number.

252182007 is a deficient number, since it is larger than the sum of its proper divisors (206502921).

252182007 is a wasteful number, since it uses less digits than its factorization.

252182007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 252182007 is about 15880.2395133071. The cubic root of 252182007 is about 631.7879895277.

It can be divided in two parts, 25218 and 2007, that added together give a square (27225 = 1652).

The spelling of 252182007 in words is "two hundred fifty-two million, one hundred eighty-two thousand, seven".

Divisors: 1 3 7 9 11 21 33 63 77 99 103 231 309 693 721 927 1133 2163 3399 3533 6489 7931 10197 10599 23793 24731 31797 38863 71379 74193 116589 222579 272041 349767 363899 816123 1091697 2448369 2547293 3275091 4002889 7641879 12008667 22925637 28020223 36026001 84060669 252182007