Search a number
-
+
1044473040 = 2432513151739
BaseRepresentation
bin111110010000010…
…110010011010000
32200210100201122200
4332100112103100
54114341114130
6251350403200
734611605622
oct7620262320
92623321580
101044473040
1149663a066
12251960500
1313850b9b0
149ca06c12
1561a68760
hex3e4164d0

1044473040 has 240 divisors, whose sum is σ = 3807672960. Its totient is φ = 255052800.

The previous prime is 1044473039. The next prime is 1044473051. The reversal of 1044473040 is 403744401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 1044472995 and 1044473013.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1412991 + ... + 1413729.

It is an arithmetic number, because the mean of its divisors is an integer number (15865304).

Almost surely, 21044473040 is an apocalyptic number.

1044473040 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 1044473040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903836480).

1044473040 is an abundant number, since it is smaller than the sum of its proper divisors (2763199920).

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

1044473040 is a wasteful number, since it uses less digits than its factorization.

1044473040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 1044473040 is about 32318.3081240340. The cubic root of 1044473040 is about 1014.6098591992.

The spelling of 1044473040 in words is "one billion, forty-four million, four hundred seventy-three thousand, forty".