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252105666 = 2342017611
BaseRepresentation
bin11110000011011…
…01001111000010
3122120101021221220
433001231033002
51004014340131
641003255510
76150601641
oct1701551702
9576337856
10252105666
1111a34179a
127051a596
13402cbc67
14256a7358
15171ece96
hexf06d3c2

252105666 has 8 divisors (see below), whose sum is σ = 504211344. Its totient is φ = 84035220.

The previous prime is 252105653. The next prime is 252105673. The reversal of 252105666 is 666501252.

It is a happy number.

252105666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

252105666 is an admirable number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21008800 + ... + 21008811.

It is an arithmetic number, because the mean of its divisors is an integer number (63026418).

Almost surely, 2252105666 is an apocalyptic number.

252105666 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

252105666 is a wasteful number, since it uses less digits than its factorization.

252105666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42017616.

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 252105666 is about 15877.8356837448. The cubic root of 252105666 is about 631.7242310870.

It can be divided in two parts, 25210 and 5666, that added together give a triangular number (30876 = T248).

The spelling of 252105666 in words is "two hundred fifty-two million, one hundred five thousand, six hundred sixty-six".

Divisors: 1 2 3 6 42017611 84035222 126052833 252105666