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5730453736 = 237377138953
BaseRepresentation
bin1010101011000111…
…11100100011101000
3112210100212012201021
411111203330203220
543213444004421
62344343302224
7262002024130
oct52543744350
915710765637
105730453736
112480767787
12113b14a974
137042a1637
143c50c5ac0
15238142341
hex1558fc8e8

5730453736 has 64 divisors (see below), whose sum is σ = 12789377280. Its totient is φ = 2355816960.

The previous prime is 5730453733. The next prime is 5730453761. The reversal of 5730453736 is 6373540375.

It is a junction number, because it is equal to n+sod(n) for n = 5730453692 and 5730453701.

It is not an unprimeable number, because it can be changed into a prime (5730453733) by changing a digit.

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, 127636 + ... + 166588.

It is an arithmetic number, because the mean of its divisors is an integer number (199834020).

Almost surely, 25730453736 is an apocalyptic number.

5730453736 is a gapful number since it is divisible by the number (56) 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 5730453736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6394688640).

5730453736 is an abundant number, since it is smaller than the sum of its proper divisors (7058923544).

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

5730453736 is a wasteful number, since it uses less digits than its factorization.

5730453736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39074 (or 39070 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 43.

The square root of 5730453736 is about 75699.7604751825. The cubic root of 5730453736 is about 1789.4916251346.

The spelling of 5730453736 in words is "five billion, seven hundred thirty million, four hundred fifty-three thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 37 56 71 74 142 148 259 284 296 497 518 568 994 1036 1988 2072 2627 3976 5254 10508 18389 21016 36778 38953 73556 77906 147112 155812 272671 311624 545342 1090684 1441261 2181368 2765663 2882522 5531326 5765044 10088827 11062652 11530088 19359641 20177654 22125304 38719282 40355308 77438564 80710616 102329531 154877128 204659062 409318124 716306717 818636248 1432613434 2865226868 5730453736