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252707841 = 3228078649
BaseRepresentation
bin11110001000000…
…00010000000001
3122121111212222200
433010000100001
51004143122331
641024223413
76155660361
oct1704002001
9577455880
10252707841
1111a713161
127076ab69
1340480089
14257c29a1
15172bb5e6
hexf100401

252707841 has 6 divisors (see below), whose sum is σ = 365022450. Its totient is φ = 168471888.

The previous prime is 252707821. The next prime is 252707849. The reversal of 252707841 is 148707252.

It can be written as a sum of positive squares in only one way, i.e., 216707841 + 36000000 = 14721^2 + 6000^2 .

It is not a de Polignac number, because 252707841 - 27 = 252707713 is a prime.

It is a super-3 number, since 3×2527078413 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 252707796 and 252707805.

It is not an unprimeable number, because it can be changed into a prime (252707849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14039316 + ... + 14039333.

It is an arithmetic number, because the mean of its divisors is an integer number (60837075).

Almost surely, 2252707841 is an apocalyptic number.

It is an amenable number.

252707841 is a deficient number, since it is larger than the sum of its proper divisors (112314609).

252707841 is a wasteful number, since it uses less digits than its factorization.

252707841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28078655 (or 28078652 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 252707841 is about 15896.7871282219. The cubic root of 252707841 is about 632.2268061476.

The spelling of 252707841 in words is "two hundred fifty-two million, seven hundred seven thousand, eight hundred forty-one".

Divisors: 1 3 9 28078649 84235947 252707841