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233875849 = 4123732
BaseRepresentation
bin11011111000010…
…10100110001001
3121022002010100111
431330022212021
5434333011344
635112434321
75536624534
oct1574124611
9538063314
10233875849
11110020429
12663a89a1
13395b849c
14230bda1b
15157eb834
hexdf0a989

233875849 has 9 divisors (see below), whose sum is σ = 240363669. Its totient is φ = 227559840.

The previous prime is 233875843. The next prime is 233875949. The reversal of 233875849 is 948578332.

The square root of 233875849 is 15293.

It is a perfect power (a square), and thus also a powerful number.

233875849 is digitally balanced in base 2, 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 4 ways, for example, as 57836025 + 176039824 = 7605^2 + 13268^2 .

It is not a de Polignac number, because 233875849 - 23 = 233875841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233875841) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 626827 + ... + 627199.

Almost surely, 2233875849 is an apocalyptic number.

233875849 is the 15293-rd square number.

233875849 is the 7647-th centered octagonal number.

It is an amenable number.

233875849 is a deficient number, since it is larger than the sum of its proper divisors (6487820).

233875849 is an frugal number, since it uses more digits than its factorization.

233875849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 414 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

The cubic root of 233875849 is about 616.1150142596.

Multiplying 233875849 by its sum of digits (49), we get a square (11459916601 = 1070512).

It can be divided in two parts, 2338 and 75849, that added together give a palindrome (78187).

The spelling of 233875849 in words is "two hundred thirty-three million, eight hundred seventy-five thousand, eight hundred forty-nine".

Divisors: 1 41 373 1681 15293 139129 627013 5704289 233875849