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252296081 = 37101181373
BaseRepresentation
bin11110000100110…
…11101110010001
3122120201222011022
433002123232101
51004041433311
641011325225
76152324042
oct1702335621
9576658138
10252296081
1111a461864
12705b0815
134036782b
14257168c9
15172395db
hexf09bb91

252296081 has 16 divisors (see below), whose sum is σ = 263831568. Its totient is φ = 241056000.

The previous prime is 252296069. The next prime is 252296089. The reversal of 252296081 is 180692252.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10182481 + 242113600 = 3191^2 + 15560^2 .

It is a cyclic number.

It is not a de Polignac number, because 252296081 - 226 = 185187217 is a prime.

It is a super-2 number, since 2×2522960812 = 127306624975917122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252296089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 676211 + ... + 676583.

It is an arithmetic number, because the mean of its divisors is an integer number (16489473).

Almost surely, 2252296081 is an apocalyptic number.

It is an amenable number.

252296081 is a deficient number, since it is larger than the sum of its proper divisors (11535487).

252296081 is a wasteful number, since it uses less digits than its factorization.

252296081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692.

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 252296081 is about 15883.8308036821. The cubic root of 252296081 is about 631.8832378230.

The spelling of 252296081 in words is "two hundred fifty-two million, two hundred ninety-six thousand, eighty-one".

Divisors: 1 37 101 181 373 3737 6697 13801 18281 37673 67513 676397 1393901 2497981 6818813 252296081