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2044281408 = 263131276449
BaseRepresentation
bin111100111011001…
…0100001001000000
312021110200020220020
41321312110021000
513141314001113
6534504013440
7101442051051
oct17166241100
95243606806
102044281408
11959a41974
12490761280
132676ac890
14155704728
15be70d023
hex79d94240

2044281408 has 112 divisors (see below), whose sum is σ = 5871667200. Its totient is φ = 623960064.

The previous prime is 2044281389. The next prime is 2044281409. The reversal of 2044281408 is 8041824402.

It is not an unprimeable number, because it can be changed into a prime (2044281409) by changing a digit.

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, 313768 + ... + 320216.

It is an arithmetic number, because the mean of its divisors is an integer number (52425600).

Almost surely, 22044281408 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 2044281408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935833600).

2044281408 is an abundant number, since it is smaller than the sum of its proper divisors (3827385792).

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

2044281408 is a wasteful number, since it uses less digits than its factorization.

2044281408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604 (or 6594 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 2044281408 is about 45213.7303039685. The cubic root of 2044281408 is about 1269.1517695527.

The spelling of 2044281408 in words is "two billion, forty-four million, two hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 127 156 192 208 254 312 381 416 508 624 762 832 1016 1248 1524 1651 2032 2496 3048 3302 4064 4953 6096 6449 6604 8128 9906 12192 12898 13208 19347 19812 24384 25796 26416 38694 39624 51592 52832 77388 79248 83837 103184 105664 154776 158496 167674 206368 251511 309552 316992 335348 412736 503022 619104 670696 819023 1006044 1238208 1341392 1638046 2012088 2457069 2682784 3276092 4024176 4914138 5365568 6552184 8048352 9828276 10647299 13104368 16096704 19656552 21294598 26208736 31941897 39313104 42589196 52417472 63883794 78626208 85178392 127767588 157252416 170356784 255535176 340713568 511070352 681427136 1022140704 2044281408