Search a number
-
+
1044061984 = 25722720533
BaseRepresentation
bin111110001110110…
…001111100100000
32200202120211210101
4332032301330200
54114234440414
6251333512144
734605244330
oct7616617440
92622524711
101044061984
11496389249
122517a2654
131383c6874
149c93b0c0
15619d6a74
hex3e3b1f20

1044061984 has 48 divisors (see below), whose sum is σ = 2359603008. Its totient is φ = 445462272.

The previous prime is 1044061981. The next prime is 1044062003. The reversal of 1044061984 is 4891604401.

It is not an unprimeable number, because it can be changed into a prime (1044061981) 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, 40582 + ... + 61114.

It is an arithmetic number, because the mean of its divisors is an integer number (49158396).

Almost surely, 21044061984 is an apocalyptic number.

1044061984 is a gapful number since it is divisible by the number (14) 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 1044061984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179801504).

1044061984 is an abundant number, since it is smaller than the sum of its proper divisors (1315541024).

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

1044061984 is a wasteful number, since it uses less digits than its factorization.

1044061984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20777 (or 20769 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 1044061984 is about 32311.9480068906. The cubic root of 1044061984 is about 1014.4767406541.

The spelling of 1044061984 in words is "one billion, forty-four million, sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 227 454 908 1589 1816 3178 3632 6356 7264 12712 20533 25424 41066 50848 82132 143731 164264 287462 328528 574924 657056 1149848 2299696 4599392 4660991 9321982 18643964 32626937 37287928 65253874 74575856 130507748 149151712 261015496 522030992 1044061984