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1649801328 = 2437107109421
BaseRepresentation
bin110001001010101…
…1111100001110000
311020222101120221220
41202111133201300
511334322120303
6431412545040
755612036260
oct14225374160
94228346856
101649801328
117772a717a
123a0622180
13203a51906
141191797a0
1599c8a053
hex6255f870

1649801328 has 160 divisors (see below), whose sum is σ = 4973253120. Its totient is φ = 461583360.

The previous prime is 1649801327. The next prime is 1649801333. The reversal of 1649801328 is 8231089461.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1649801328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1649801327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3918558 + ... + 3918978.

It is an arithmetic number, because the mean of its divisors is an integer number (31082832).

Almost surely, 21649801328 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 1649801328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486626560).

1649801328 is an abundant number, since it is smaller than the sum of its proper divisors (3323451792).

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

1649801328 is a wasteful number, since it uses less digits than its factorization.

1649801328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 1649801328 is about 40617.7464662923. The cubic root of 1649801328 is about 1181.6183215138.

The spelling of 1649801328 in words is "one billion, six hundred forty-nine million, eight hundred one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 109 112 168 214 218 321 327 336 421 428 436 642 654 749 763 842 856 872 1263 1284 1308 1498 1526 1684 1712 1744 2247 2289 2526 2568 2616 2947 2996 3052 3368 4494 4578 5052 5136 5232 5894 5992 6104 6736 8841 8988 9156 10104 11663 11788 11984 12208 17682 17976 18312 20208 23326 23576 34989 35364 35952 36624 45047 45889 46652 47152 69978 70728 81641 90094 91778 93304 135141 137667 139956 141456 163282 180188 183556 186608 244923 270282 275334 279912 315329 321223 326564 360376 367112 489846 540564 550668 559824 630658 642446 653128 720752 734224 945987 963669 979692 1081128 1101336 1261316 1284892 1306256 1891974 1927338 1959384 2162256 2202672 2522632 2569784 3783948 3854676 3918768 4910123 5045264 5139568 7567896 7709352 9820246 14730369 15135792 15418704 19640492 29460738 34370861 39280984 58921476 68741722 78561968 103112583 117842952 137483444 206225166 235685904 274966888 412450332 549933776 824900664 1649801328