Search a number
-
+
1044885820 = 2251124110531
BaseRepresentation
bin111110010001111…
…011000100111100
32200211010200212211
4332101323010330
54114442321240
6251403310204
734615245226
oct7621730474
92624120784
101044885820
114968a1200
12251b1b364
13138624844
149cab3416
1561aeabea
hex3e47b13c

1044885820 has 72 divisors (see below), whose sum is σ = 2470933584. Its totient is φ = 370656000.

The previous prime is 1044885817. The next prime is 1044885823. The reversal of 1044885820 is 285884401.

It is an interprime number because it is at equal distance from previous prime (1044885817) and next prime (1044885823).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044885823) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 93955 + ... + 104485.

It is an arithmetic number, because the mean of its divisors is an integer number (34318522).

Almost surely, 21044885820 is an apocalyptic number.

1044885820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044885820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235466792).

1044885820 is an abundant number, since it is smaller than the sum of its proper divisors (1426047764).

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

1044885820 is a wasteful number, since it uses less digits than its factorization.

1044885820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10603 (or 10590 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The square root of 1044885820 is about 32324.6936567077. The cubic root of 1044885820 is about 1014.7435009119.

The spelling of 1044885820 in words is "one billion, forty-four million, eight hundred eighty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 121 164 205 220 242 410 451 484 605 820 902 1210 1804 2255 2420 4510 4961 9020 9922 10531 19844 21062 24805 42124 49610 52655 99220 105310 115841 210620 231682 431771 463364 579205 863542 1158410 1274251 1727084 2158855 2316820 2548502 4317710 4749481 5097004 6371255 8635420 9498962 12742510 18997924 23747405 25485020 47494810 52244291 94989620 104488582 208977164 261221455 522442910 1044885820