Search a number
-
+
2533113352 = 237114112197
BaseRepresentation
bin1001011011111100…
…0011111000001000
320112112111111021001
42112333003320020
520141434111402
61055205224344
7116526052060
oct22677037010
96475444231
102533113352
11108a970610
125a84020b4
13314a54553
141a05d03a0
15ec5bc187
hex96fc3e08

2533113352 has 32 divisors (see below), whose sum is σ = 5921565120. Its totient is φ = 986927040.

The previous prime is 2533113347. The next prime is 2533113353.

2533113352 is nontrivially palindromic in base 10.

2533113352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2533113352.

It is not an unprimeable number, because it can be changed into a prime (2533113353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2055483 + ... + 2056714.

It is an arithmetic number, because the mean of its divisors is an integer number (185048910).

Almost surely, 22533113352 is an apocalyptic number.

2533113352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2533113352 is an abundant number, since it is smaller than the sum of its proper divisors (3388451768).

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

2533113352 is a wasteful number, since it uses less digits than its factorization.

2533113352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112221 (or 4112217 counting only the distinct ones).

The product of its digits is 8100, while the sum is 28.

The square root of 2533113352 is about 50330.0442280751. The cubic root of 2533113352 is about 1363.1747759615.

It can be divided in two parts, 25331 and 13352, that added together give a palindrome (38683).

The spelling of 2533113352 in words is "two billion, five hundred thirty-three million, one hundred thirteen thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 4112197 8224394 16448788 28785379 32897576 45234167 57570758 90468334 115141516 180936668 230283032 316639169 361873336 633278338 1266556676 2533113352