Search a number
-
+
235826052 = 223711318233
BaseRepresentation
bin11100000111001…
…10101110000100
3121102202012112020
432003212232010
5440332413202
635222323140
75562326340
oct1603465604
9542665466
10235826052
11111132670
1266b894b0
1339b1c057
142346a620
1515a845bc
hexe0e6b84

235826052 has 96 divisors (see below), whose sum is σ = 708255744. Its totient is φ = 59270400.

The previous prime is 235826047. The next prime is 235826077. The reversal of 235826052 is 250628532.

It is a super-2 number, since 2×2358260522 = 111227853603813408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24528 + ... + 32760.

It is an arithmetic number, because the mean of its divisors is an integer number (7377664).

Almost surely, 2235826052 is an apocalyptic number.

235826052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235826052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354127872).

235826052 is an abundant number, since it is smaller than the sum of its proper divisors (472429692).

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

235826052 is a wasteful number, since it uses less digits than its factorization.

235826052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8289 (or 8287 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 235826052 is about 15356.6289269488. The cubic root of 235826052 is about 617.8227935279.

The spelling of 235826052 in words is "two hundred thirty-five million, eight hundred twenty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 124 132 154 186 217 231 308 341 372 434 462 651 682 868 924 1023 1302 1364 2046 2387 2604 4092 4774 7161 8233 9548 14322 16466 24699 28644 32932 49398 57631 90563 98796 115262 172893 181126 230524 255223 271689 345786 362252 510446 543378 633941 691572 765669 1020892 1086756 1267882 1531338 1786561 1901823 2535764 2807453 3062676 3573122 3803646 5359683 5614906 7146244 7607292 8422359 10719366 11229812 16844718 19652171 21438732 33689436 39304342 58956513 78608684 117913026 235826052