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252066012 = 2231115712163
BaseRepresentation
bin11110000011000…
…11100011011100
3122120022021120020
433001203203130
51004012103022
641002352140
76150345222
oct1701434334
9576267506
10252066012
1111a314a20
12704bb650
13402b6bb3
1425696b12
15171e135c
hexf0638dc

252066012 has 48 divisors (see below), whose sum is σ = 645762432. Its totient is φ = 75890880.

The previous prime is 252065977. The next prime is 252066071. The reversal of 252066012 is 210660252.

252066012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14643 + ... + 26805.

It is an arithmetic number, because the mean of its divisors is an integer number (13453384).

Almost surely, 2252066012 is an apocalyptic number.

252066012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252066012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322881216).

252066012 is an abundant number, since it is smaller than the sum of its proper divisors (393696420).

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

252066012 is a wasteful number, since it uses less digits than its factorization.

252066012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12338 (or 12336 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 252066012 is about 15876.5869128097. The cubic root of 252066012 is about 631.6911077984.

The spelling of 252066012 in words is "two hundred fifty-two million, sixty-six thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 157 314 471 628 942 1727 1884 3454 5181 6908 10362 12163 20724 24326 36489 48652 72978 133793 145956 267586 401379 535172 802758 1605516 1909591 3819182 5728773 7638364 11457546 21005501 22915092 42011002 63016503 84022004 126033006 252066012