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252084168 = 23327500167
BaseRepresentation
bin11110000011001…
…11111111001000
3122120100012110200
433001213333020
51004013143133
641003012200
76150452160
oct1701477710
9576305420
10252084168
1111a327626
127050a060
13402c223b
142569d5a0
15171e6913
hexf067fc8

252084168 has 48 divisors (see below), whose sum is σ = 780262080. Its totient is φ = 72023904.

The previous prime is 252084149. The next prime is 252084199. The reversal of 252084168 is 861480252.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249580 + ... + 250587.

It is an arithmetic number, because the mean of its divisors is an integer number (16255460).

Almost surely, 2252084168 is an apocalyptic number.

252084168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

252084168 is an abundant number, since it is smaller than the sum of its proper divisors (528177912).

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

252084168 is a wasteful number, since it uses less digits than its factorization.

252084168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500186 (or 500179 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 252084168 is about 15877.1586878761. The cubic root of 252084168 is about 631.7062740747.

It can be divided in two parts, 252084 and 168, that added together give a palindrome (252252).

The spelling of 252084168 in words is "two hundred fifty-two million, eighty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 500167 1000334 1500501 2000668 3001002 3501169 4001336 4501503 6002004 7002338 9003006 10503507 12004008 14004676 18006012 21007014 28009352 31510521 36012024 42014028 63021042 84028056 126042084 252084168