Search a number
-
+
253093869 = 337327329
BaseRepresentation
bin11110001010111…
…10011111101101
3122122020111112000
433011132133231
51004243000434
641040402513
76162156000
oct1705363755
9578214460
10253093869
1111a957196
1270916439
13405869b2
1425883537
1517345b99
hexf15e7ed

253093869 has 32 divisors (see below), whose sum is σ = 437280000. Its totient is φ = 144619776.

The previous prime is 253093859. The next prime is 253093873. The reversal of 253093869 is 968390352.

It is not a de Polignac number, because 253093869 - 25 = 253093837 is a prime.

It is a super-2 number, since 2×2530938692 = 128113013050778322, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253093859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4404 + ... + 22925.

It is an arithmetic number, because the mean of its divisors is an integer number (13665000).

Almost surely, 2253093869 is an apocalyptic number.

It is an amenable number.

253093869 is a deficient number, since it is larger than the sum of its proper divisors (184186131).

253093869 is an equidigital number, since it uses as much as digits as its factorization.

253093869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27359 (or 27339 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 253093869 is about 15908.9241936719. The cubic root of 253093869 is about 632.5485651701.

The spelling of 253093869 in words is "two hundred fifty-three million, ninety-three thousand, eight hundred sixty-nine".

Divisors: 1 3 7 9 21 27 49 63 147 189 343 441 1029 1323 3087 9261 27329 81987 191303 245961 573909 737883 1339121 1721727 4017363 5165181 9373847 12052089 28121541 36156267 84364623 253093869