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2494663808 = 27713613511
BaseRepresentation
bin1001010010110001…
…1000110010000000
320102212011001101212
42110230120302000
520102113220213
61051313145252
7115551202220
oct22454306200
96385131355
102494663808
11107019992a
1259755b228
13309ab1640
14199462080
15e90249a8
hex94b18c80

2494663808 has 128 divisors (see below), whose sum is σ = 6218768640. Its totient is φ = 970444800.

The previous prime is 2494663777. The next prime is 2494663841. The reversal of 2494663808 is 8083664942.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708773 + ... + 712283.

It is an arithmetic number, because the mean of its divisors is an integer number (48584130).

Almost surely, 22494663808 is an apocalyptic number.

2494663808 is a gapful number since it is divisible by the number (28) 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 2494663808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109384320).

2494663808 is an abundant number, since it is smaller than the sum of its proper divisors (3724104832).

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

2494663808 is a wasteful number, since it uses less digits than its factorization.

2494663808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 50.

The square root of 2494663808 is about 49946.6095746248. The cubic root of 2494663808 is about 1356.2424768623.

The spelling of 2494663808 in words is "two billion, four hundred ninety-four million, six hundred sixty-three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 61 64 91 104 112 122 128 182 208 224 244 364 416 427 448 488 728 793 832 854 896 976 1456 1586 1664 1708 1952 2912 3172 3416 3511 3904 5551 5824 6344 6832 7022 7808 11102 11648 12688 13664 14044 22204 24577 25376 27328 28088 44408 45643 49154 50752 54656 56176 88816 91286 98308 101504 112352 177632 182572 196616 214171 224704 319501 355264 365144 393232 428342 449408 639002 710528 730288 786464 856684 1278004 1460576 1499197 1572928 1713368 2556008 2784223 2921152 2998394 3145856 3426736 5112016 5568446 5842304 5996788 6853472 10224032 11136892 11993576 13706944 19489561 20448064 22273784 23987152 27413888 38979122 40896128 44547568 47974304 77958244 89095136 95948608 155916488 178190272 191897216 311832976 356380544 623665952 1247331904 2494663808