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2996703248 = 247117134259
BaseRepresentation
bin1011001010011110…
…0001000000010000
321201211211022001012
42302213201000100
522114124000443
61213205430052
7134155362110
oct26247410020
97654738035
102996703248
1112a8619560
126b770b328
13389acbab6
14205dc9040
15128142118
hexb29e1010

2996703248 has 80 divisors (see below), whose sum is σ = 7340958720. Its totient is φ = 1151068800.

The previous prime is 2996703211. The next prime is 2996703251. The reversal of 2996703248 is 8423076992.

It is a junction number, because it is equal to n+sod(n) for n = 2996703196 and 2996703205.

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, 70343 + ... + 104601.

It is an arithmetic number, because the mean of its divisors is an integer number (91761984).

Almost surely, 22996703248 is an apocalyptic number.

2996703248 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 2996703248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3670479360).

2996703248 is an abundant number, since it is smaller than the sum of its proper divisors (4344255472).

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

2996703248 is a wasteful number, since it uses less digits than its factorization.

2996703248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34356 (or 34350 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The square root of 2996703248 is about 54742.1523873514. The cubic root of 2996703248 is about 1441.7210723176.

The spelling of 2996703248 in words is "two billion, nine hundred ninety-six million, seven hundred three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 71 77 88 112 142 154 176 284 308 497 568 616 781 994 1136 1232 1562 1988 3124 3976 5467 6248 7952 10934 12496 21868 34259 43736 68518 87472 137036 239813 274072 376849 479626 548144 753698 959252 1507396 1918504 2432389 2637943 3014792 3837008 4864778 5275886 6029584 9729556 10551772 17026723 19459112 21103544 26756279 34053446 38918224 42207088 53512558 68106892 107025116 136213784 187293953 214050232 272427568 374587906 428100464 749175812 1498351624 2996703248