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254664993 = 31123335527
BaseRepresentation
bin11110010110111…
…10000100100001
3122202012022200210
433023132010201
51010143234433
641134204333
76211421352
oct1713360441
9582168623
10254664993
1112082a640
12713536a9
13409b6b5b
1425b71d29
1517556463
hexf2de121

254664993 has 16 divisors (see below), whose sum is σ = 386528256. Its totient is φ = 147631440.

The previous prime is 254664931. The next prime is 254664997. The reversal of 254664993 is 399466452.

254664993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 254664993 - 26 = 254664929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (254664997) 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, 167005 + ... + 168522.

It is an arithmetic number, because the mean of its divisors is an integer number (24158016).

Almost surely, 2254664993 is an apocalyptic number.

254664993 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

254664993 is a deficient number, since it is larger than the sum of its proper divisors (131863263).

254664993 is a wasteful number, since it uses less digits than its factorization.

254664993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335564.

The product of its digits is 1399680, while the sum is 48.

The square root of 254664993 is about 15958.2264992072. The cubic root of 254664993 is about 633.8547509977.

The spelling of 254664993 in words is "two hundred fifty-four million, six hundred sixty-four thousand, nine hundred ninety-three".

Divisors: 1 3 11 23 33 69 253 759 335527 1006581 3690797 7717121 11072391 23151363 84888331 254664993