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2491043200 = 27523732087
BaseRepresentation
bin1001010001111010…
…0100110110000000
320102121100002212021
42110132210312000
520100201340300
61051103411224
7115505342422
oct22436446600
96377302767
102491043200
111069146698
125962b3b14
13309114679
14198b9c812
15e8a5bd1a
hex947a4d80

2491043200 has 96 divisors (see below), whose sum is σ = 6173109360. Its totient is φ = 993269760.

The previous prime is 2491043179. The next prime is 2491043209. The reversal of 2491043200 is 23401942.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2491043209) 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 11 ways as a sum of consecutive naturals, for example, 1192557 + ... + 1194643.

Almost surely, 22491043200 is an apocalyptic number.

2491043200 is a gapful number since it is divisible by the number (20) 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 2491043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086554680).

2491043200 is an abundant number, since it is smaller than the sum of its proper divisors (3682066160).

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

2491043200 is a wasteful number, since it uses less digits than its factorization.

2491043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 2491043200 is about 49910.3516317006. The cubic root of 2491043200 is about 1355.5860357246.

The spelling of 2491043200 in words is "two billion, four hundred ninety-one million, forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 373 400 640 746 800 1492 1600 1865 2087 2984 3200 3730 4174 5968 7460 8348 9325 10435 11936 14920 16696 18650 20870 23872 29840 33392 37300 41740 47744 52175 59680 66784 74600 83480 104350 119360 133568 149200 166960 208700 238720 267136 298400 333920 417400 596800 667840 778451 834800 1193600 1335680 1556902 1669600 3113804 3339200 3892255 6227608 6678400 7784510 12455216 15569020 19461275 24910432 31138040 38922550 49820864 62276080 77845100 99641728 124552160 155690200 249104320 311380400 498208640 622760800 1245521600 2491043200