Search a number
-
+
5385816 = 23321931127
BaseRepresentation
bin10100100010111001011000
3101010121221200
4110202321120
52334321231
6311234200
763531042
oct24427130
911117850
105385816
113049497
121978960
131167597
14a02a92
15715be6
hex522e58

5385816 has 96 divisors (see below), whose sum is σ = 15974400. Its totient is φ = 1632960.

The previous prime is 5385811. The next prime is 5385817. The reversal of 5385816 is 6185835.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5385811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42345 + ... + 42471.

It is an arithmetic number, because the mean of its divisors is an integer number (166400).

Almost surely, 25385816 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 5385816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7987200).

5385816 is an abundant number, since it is smaller than the sum of its proper divisors (10588584).

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

5385816 is a wasteful number, since it uses less digits than its factorization.

5385816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 182 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 5385816 is about 2320.7360901231. The cubic root of 5385816 is about 175.2873212050.

The spelling of 5385816 in words is "five million, three hundred eighty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 31 36 38 57 62 72 76 93 114 124 127 152 171 186 228 248 254 279 342 372 381 456 508 558 589 684 744 762 1016 1116 1143 1178 1368 1524 1767 2232 2286 2356 2413 3048 3534 3937 4572 4712 4826 5301 7068 7239 7874 9144 9652 10602 11811 14136 14478 15748 19304 21204 21717 23622 28956 31496 35433 42408 43434 47244 57912 70866 74803 86868 94488 141732 149606 173736 224409 283464 299212 448818 598424 673227 897636 1346454 1795272 2692908 5385816