Search a number
-
+
5785785424 = 2423211269277
BaseRepresentation
bin1010110001101110…
…00001010001010000
3112221012222100112001
411120313001101100
543322130113144
62354041243344
7263243236036
oct53067012120
915835870461
105785785424
1124a9a1a251
121155793554
137128a5793
143cc5aa556
1523ce21bd4
hex158dc1450

5785785424 has 80 divisors (see below), whose sum is σ = 11839063680. Its totient is φ = 2733857280.

The previous prime is 5785785377. The next prime is 5785785463. The reversal of 5785785424 is 4245875875.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20887174 + ... + 20887450.

It is an arithmetic number, because the mean of its divisors is an integer number (147988296).

Almost surely, 25785785424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5785785424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5919531840).

5785785424 is an abundant number, since it is smaller than the sum of its proper divisors (6053278256).

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

5785785424 is a wasteful number, since it uses less digits than its factorization.

5785785424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 782 counting only the distinct ones).

The product of its digits is 12544000, while the sum is 55.

The square root of 5785785424 is about 76064.3505461001. The cubic root of 5785785424 is about 1795.2327994707.

The spelling of 5785785424 in words is "five billion, seven hundred eighty-five million, seven hundred eighty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 92 184 211 269 277 368 422 538 554 844 1076 1108 1688 2152 2216 3376 4304 4432 4853 6187 6371 9706 12374 12742 19412 24748 25484 38824 49496 50968 56759 58447 74513 77648 98992 101936 113518 116894 149026 227036 233788 298052 454072 467576 596104 908144 935152 1192208 1305457 1344281 1713799 2610914 2688562 3427598 5221828 5377124 6855196 10443656 10754248 13710392 15722243 20887312 21508496 27420784 31444486 62888972 125777944 251555888 361611589 723223178 1446446356 2892892712 5785785424