Search a number
-
+
5235335325 = 3252112391969
BaseRepresentation
bin1001110000000110…
…01110000010011101
3111111212012120221100
410320003032002131
541210221212300
62223255223313
7243510421203
oct47003160235
914455176840
105235335325
112247234a10
121021377b39
1365583846c
14379441073
15209940700
hex1380ce09d

5235335325 has 72 divisors (see below), whose sum is σ = 10674406080. Its totient is φ = 2427955200.

The previous prime is 5235335321. The next prime is 5235335333.

5235335325 is a `hidden beast` number, since 52 + 3 + 533 + 53 + 25 = 666.

5235335325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5235335325 - 22 = 5235335321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5235335325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5235335321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10941 + ... + 102909.

It is an arithmetic number, because the mean of its divisors is an integer number (148255640).

Almost surely, 25235335325 is an apocalyptic number.

5235335325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5235335325 is an abundant number, since it is smaller than the sum of its proper divisors (5439070755).

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

5235335325 is a wasteful number, since it uses less digits than its factorization.

5235335325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92019 (or 92011 counting only the distinct ones).

The product of its digits is 202500, while the sum is 36.

The square root of 5235335325 is about 72355.6170936300. The cubic root of 5235335325 is about 1736.3935657137.

It can be divided in two parts, 52353 and 35325, that added together give a palindrome (87678).

The spelling of 5235335325 in words is "five billion, two hundred thirty-five million, three hundred thirty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 23 25 33 45 55 69 75 99 115 165 207 225 253 275 345 495 575 759 825 1035 1265 1725 2277 2475 3795 5175 6325 11385 18975 56925 91969 275907 459845 827721 1011659 1379535 2115287 2299225 3034977 4138605 5058295 6345861 6897675 9104931 10576435 15174885 19037583 20693025 23268157 25291475 31729305 45524655 52882175 69804471 75874425 95187915 116340785 158646525 209413413 227623275 349022355 475939575 581703925 1047067065 1745111775 5235335325