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5785950 = 2352172269
BaseRepresentation
bin10110000100100101011110
3101212221211110
4112010211132
52440122300
6324002450
7100115442
oct26044536
911787743
105785950
1132a2085
121b30426
131277751
14aa8822
15794550
hex58495e

5785950 has 48 divisors (see below), whose sum is σ = 15199920. Its totient is φ = 1451520.

The previous prime is 5785891. The next prime is 5785973. The reversal of 5785950 is 595875.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 5785899 and 5785908.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1416 + ... + 3684.

It is an arithmetic number, because the mean of its divisors is an integer number (316665).

Almost surely, 25785950 is an apocalyptic number.

5785950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5785950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599960).

5785950 is an abundant number, since it is smaller than the sum of its proper divisors (9413970).

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

5785950 is a wasteful number, since it uses less digits than its factorization.

5785950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 39.

The square root of 5785950 is about 2405.4001746071. The cubic root of 5785950 is about 179.5249821039.

The spelling of 5785950 in words is "five million, seven hundred eighty-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 425 510 850 1275 2269 2550 4538 6807 11345 13614 22690 34035 38573 56725 68070 77146 113450 115719 170175 192865 231438 340350 385730 578595 964325 1157190 1928650 2892975 5785950