Search a number
-
+
2041036544 = 2819676263
BaseRepresentation
bin111100110100111…
…1011111100000000
312021020120101210002
41321221323330000
513140001132134
6534310255132
7101402344601
oct17151737400
95236511702
102041036544
11958125a68
1248b6574a8
13266b14941
141550dbda8
15be2bb87e
hex79a7bf00

2041036544 has 72 divisors (see below), whose sum is σ = 4353229440. Its totient is φ = 952224768.

The previous prime is 2041036511. The next prime is 2041036577. The reversal of 2041036544 is 4456301402.

It is an interprime number because it is at equal distance from previous prime (2041036511) and next prime (2041036577).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322757 + ... + 329019.

It is an arithmetic number, because the mean of its divisors is an integer number (60461520).

Almost surely, 22041036544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041036544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176614720).

2041036544 is an abundant number, since it is smaller than the sum of its proper divisors (2312192896).

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

2041036544 is an equidigital number, since it uses as much as digits as its factorization.

2041036544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6365 (or 6351 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 2041036544 is about 45177.8324402577. The cubic root of 2041036544 is about 1268.4799106896.

Adding to 2041036544 its reverse (4456301402), we get a palindrome (6497337946).

The spelling of 2041036544 in words is "two billion, forty-one million, thirty-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 67 76 128 134 152 256 268 304 536 608 1072 1216 1273 2144 2432 2546 4288 4864 5092 6263 8576 10184 12526 17152 20368 25052 40736 50104 81472 100208 118997 162944 200416 237994 325888 400832 419621 475988 801664 839242 951976 1603328 1678484 1903952 3356968 3807904 6713936 7615808 7972799 13427872 15231616 15945598 26855744 30463232 31891196 53711488 63782392 107422976 127564784 255129568 510259136 1020518272 2041036544