Search a number
-
+
5778648 = 233331863
BaseRepresentation
bin10110000010110011011000
3101212120211000
4112002303120
52434404043
6323505000
7100055241
oct26026330
911776730
105778648
113297647
121b28160
131274325
14aa5cc8
157922d3
hex582cd8

5778648 has 64 divisors (see below), whose sum is σ = 16588800. Its totient is φ = 1861920.

The previous prime is 5778631. The next prime is 5778649. The reversal of 5778648 is 8468775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5778649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6265 + ... + 7127.

It is an arithmetic number, because the mean of its divisors is an integer number (259200).

Almost surely, 25778648 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 5778648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294400).

5778648 is an abundant number, since it is smaller than the sum of its proper divisors (10810152).

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

5778648 is a wasteful number, since it uses less digits than its factorization.

5778648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 899 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 5778648 is about 2403.8818606579. The cubic root of 5778648 is about 179.4494287800.

The spelling of 5778648 in words is "five million, seven hundred seventy-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 863 1116 1674 1726 2232 2589 3348 3452 5178 6696 6904 7767 10356 15534 20712 23301 26753 31068 46602 53506 62136 80259 93204 107012 160518 186408 214024 240777 321036 481554 642072 722331 963108 1444662 1926216 2889324 5778648