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235854052 = 227223113463
BaseRepresentation
bin11100000111011…
…01100011100100
3121102210121221021
432003231203210
5440334312202
635223100524
75562504100
oct1603554344
9542717837
10235854052
11111151705
1266ba1744
1339b2ba15
1423476900
1515a8ca37
hexe0ed8e4

235854052 has 72 divisors (see below), whose sum is σ = 506532096. Its totient is φ = 95622912.

The previous prime is 235854019. The next prime is 235854053. The reversal of 235854052 is 250458532.

235854052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 235853999 and 235854017.

It is not an unprimeable number, because it can be changed into a prime (235854053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509173 + ... + 509635.

It is an arithmetic number, because the mean of its divisors is an integer number (7035168).

Almost surely, 2235854052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235854052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253266048).

235854052 is an abundant number, since it is smaller than the sum of its proper divisors (270678044).

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

235854052 is a wasteful number, since it uses less digits than its factorization.

235854052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The square root of 235854052 is about 15357.5405583056. The cubic root of 235854052 is about 617.8472442526.

The spelling of 235854052 in words is "two hundred thirty-five million, eight hundred fifty-four thousand, fifty-two".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 113 161 196 226 322 452 463 644 791 926 1127 1582 1852 2254 2599 3164 3241 4508 5198 5537 6482 10396 10649 11074 12964 18193 21298 22148 22687 36386 42596 45374 52319 72772 74543 90748 104638 127351 149086 209276 254702 298172 366233 509404 521801 732466 1043602 1203337 1464932 2087204 2406674 2563631 4813348 5127262 8423359 10254524 16846718 33693436 58963513 117927026 235854052