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5841813040 = 245728513659
BaseRepresentation
bin1010111000011001…
…01111111000110000
3120002010101211221221
411130030233320300
543431001004130
62403402154424
7264523406620
oct53414577060
916063354857
105841813040
112528607668
1211704b2a14
1372139160b
143d5bd2880
15242cdc87a
hex15c32fe30

5841813040 has 80 divisors (see below), whose sum is σ = 15532220160. Its totient is φ = 2001657600.

The previous prime is 5841813023. The next prime is 5841813059. The reversal of 5841813040 is 403181485.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 5841812987 and 5841813005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1594731 + ... + 1598389.

It is an arithmetic number, because the mean of its divisors is an integer number (194152752).

Almost surely, 25841813040 is an apocalyptic number.

It is an amenable number.

5841813040 is an abundant number, since it is smaller than the sum of its proper divisors (9690407120).

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

5841813040 is a wasteful number, since it uses less digits than its factorization.

5841813040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6530 (or 6524 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 5841813040 is about 76431.7541339985. The cubic root of 5841813040 is about 1801.0090063032.

The spelling of 5841813040 in words is "five billion, eight hundred forty-one million, eight hundred thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 2851 3659 5702 7318 11404 14255 14636 18295 19957 22808 25613 28510 29272 36590 39914 45616 51226 57020 58544 73180 79828 99785 102452 114040 128065 146360 159656 199570 204904 228080 256130 292720 319312 399140 409808 512260 798280 1024520 1596560 2049040 10431809 20863618 41727236 52159045 73022663 83454472 104318090 146045326 166908944 208636180 292090652 365113315 417272360 584181304 730226630 834544720 1168362608 1460453260 2920906520 5841813040