Search a number
-
+
2783838252 = 2231323337649
BaseRepresentation
bin1010010111101110…
…0000000000101100
321012000021122011110
42211323200000230
521200130311002
61140123152020
7125662143336
oct24573400054
97160248143
102783838252
1111a9449978
12658375610
1335498bb90
141c5a18456
151145e5e6c
hexa5ee002c

2783838252 has 48 divisors (see below), whose sum is σ = 6999199200. Its totient is φ = 856086528.

The previous prime is 2783838221. The next prime is 2783838259. The reversal of 2783838252 is 2528383872.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2783838259) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 360124 + ... + 367772.

It is an arithmetic number, because the mean of its divisors is an integer number (145816650).

Almost surely, 22783838252 is an apocalyptic number.

It is an amenable number.

2783838252 is an abundant number, since it is smaller than the sum of its proper divisors (4215360948).

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

2783838252 is a wasteful number, since it uses less digits than its factorization.

2783838252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10002 (or 10000 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 2783838252 is about 52762.0910502986. The cubic root of 2783838252 is about 1406.7426866318.

The spelling of 2783838252 in words is "two billion, seven hundred eighty-three million, eight hundred thirty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 2333 4666 6999 7649 9332 13998 15298 22947 27996 30329 30596 45894 60658 90987 91788 99437 121316 181974 198874 298311 363948 397748 596622 1193244 17845117 35690234 53535351 71380468 107070702 214141404 231986521 463973042 695959563 927946084 1391919126 2783838252