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257423333 = 1789170141
BaseRepresentation
bin11110101011111…
…11011111100101
3122221101110102112
433111333133211
51011400021313
641313250405
76244030226
oct1725773745
9587343375
10257423333
11122343a62
1272263a05
13414414cb
142628d24d
15178ed8a8
hexf57f7e5

257423333 has 8 divisors (see below), whose sum is σ = 275630040. Its totient is φ = 239557120.

The previous prime is 257423329. The next prime is 257423347. The reversal of 257423333 is 333324752.

It can be written as a sum of positive squares in 4 ways, for example, as 2765569 + 254657764 = 1663^2 + 15958^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 257423333 - 22 = 257423329 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 257423333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257423303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83558 + ... + 86583.

It is an arithmetic number, because the mean of its divisors is an integer number (34453755).

Almost surely, 2257423333 is an apocalyptic number.

It is an amenable number.

257423333 is a deficient number, since it is larger than the sum of its proper divisors (18206707).

257423333 is a wasteful number, since it uses less digits than its factorization.

257423333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170247.

The product of its digits is 45360, while the sum is 32.

The square root of 257423333 is about 16044.4175026705. The cubic root of 257423333 is about 636.1350175817.

The spelling of 257423333 in words is "two hundred fifty-seven million, four hundred twenty-three thousand, three hundred thirty-three".

Divisors: 1 17 89 1513 170141 2892397 15142549 257423333