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1044413000 = 23539771069
BaseRepresentation
bin111110010000000…
…111101001001000
32200210020200021222
4332100013221020
54114332204000
6251345221212
734611235601
oct7620075110
92623220258
101044413000
114965a8a44
12251931808
131384ba577
149c9ccda8
1561a55a85
hex3e407a48

1044413000 has 64 divisors (see below), whose sum is σ = 2448716400. Its totient is φ = 416947200.

The previous prime is 1044412997. The next prime is 1044413017. The reversal of 1044413000 is 3144401.

It can be written as a sum of positive squares in 8 ways, for example, as 179935396 + 864477604 = 13414^2 + 29402^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1044413000.

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 15 ways as a sum of consecutive naturals, for example, 976466 + ... + 977534.

Almost surely, 21044413000 is an apocalyptic number.

1044413000 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 1044413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224358200).

1044413000 is an abundant number, since it is smaller than the sum of its proper divisors (1404303400).

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

1044413000 is a wasteful number, since it uses less digits than its factorization.

1044413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1044413000 is about 32317.3792254261. The cubic root of 1044413000 is about 1014.5904177070.

Adding to 1044413000 its reverse (3144401), we get a palindrome (1047557401).

The spelling of 1044413000 in words is "one billion, forty-four million, four hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 977 1000 1069 1954 2138 3908 4276 4885 5345 7816 8552 9770 10690 19540 21380 24425 26725 39080 42760 48850 53450 97700 106900 122125 133625 195400 213800 244250 267250 488500 534500 977000 1044413 1069000 2088826 4177652 5222065 8355304 10444130 20888260 26110325 41776520 52220650 104441300 130551625 208882600 261103250 522206500 1044413000