Search a number
-
+
253051431 = 3434741737
BaseRepresentation
bin11110001010101…
…00001000100111
3122122011100022020
433011110020213
51004240121211
641035434223
76161621163
oct1705241047
9578140266
10253051431
1111a928316
12708b5973
1340570599
1425871ca3
1517338306
hexf154227

253051431 has 16 divisors (see below), whose sum is σ = 352602624. Its totient is φ = 161267904.

The previous prime is 253051427. The next prime is 253051433. The reversal of 253051431 is 134150352.

It is not a de Polignac number, because 253051431 - 22 = 253051427 is a prime.

It is a super-2 number, since 2×2530514312 = 128070053462295522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253051433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14806 + ... + 26931.

It is an arithmetic number, because the mean of its divisors is an integer number (22037664).

Almost surely, 2253051431 is an apocalyptic number.

253051431 is a deficient number, since it is larger than the sum of its proper divisors (99551193).

253051431 is a wasteful number, since it uses less digits than its factorization.

253051431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41830.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 253051431 is about 15907.5903580649. The cubic root of 253051431 is about 632.5132085958.

The spelling of 253051431 in words is "two hundred fifty-three million, fifty-one thousand, four hundred thirty-one".

Divisors: 1 3 43 47 129 141 2021 6063 41737 125211 1794691 1961639 5384073 5884917 84350477 253051431