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235916096 = 2613283553
BaseRepresentation
bin11100000111111…
…00101101000000
3121102220210001012
432003330231000
5440343303341
635224300052
75563153013
oct1603745500
9542823035
10235916096
11111194289
1267011628
1339b51030
142349137a
1515aa10eb
hexe0fcb40

235916096 has 28 divisors (see below), whose sum is σ = 504159012. Its totient is φ = 108883968.

The previous prime is 235916081. The next prime is 235916099. The reversal of 235916096 is 690619532.

235916096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 153760000 + 82156096 = 12400^2 + 9064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235916099) 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 3 ways as a sum of consecutive naturals, for example, 140945 + ... + 142608.

It is an arithmetic number, because the mean of its divisors is an integer number (18005679).

Almost surely, 2235916096 is an apocalyptic number.

235916096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

235916096 is an abundant number, since it is smaller than the sum of its proper divisors (268242916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

235916096 is a wasteful number, since it uses less digits than its factorization.

235916096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283578 (or 283568 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 41.

The square root of 235916096 is about 15359.5604103763. The cubic root of 235916096 is about 617.9014166715.

The spelling of 235916096 in words is "two hundred thirty-five million, nine hundred sixteen thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 283553 567106 1134212 2268424 3686189 4536848 7372378 9073696 14744756 18147392 29489512 58979024 117958048 235916096