Search a number
-
+
5371328 = 26234189
BaseRepresentation
bin10100011111010111000000
3101002220002002
4110133113000
52333340303
6311043132
763440564
oct24372700
911086062
105371328
113039616
1219704a8
131160b01
149db6a4
15711788
hex51f5c0

5371328 has 56 divisors (see below), whose sum is σ = 11521440. Its totient is φ = 2478080.

The previous prime is 5371321. The next prime is 5371367. The reversal of 5371328 is 8231735.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5371328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5371321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 60308 + ... + 60396.

It is an arithmetic number, because the mean of its divisors is an integer number (205740).

Almost surely, 25371328 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 5371328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760720).

5371328 is an abundant number, since it is smaller than the sum of its proper divisors (6150112).

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

5371328 is a wasteful number, since it uses less digits than its factorization.

5371328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 5371328 is about 2317.6125646881. The cubic root of 5371328 is about 175.1300040789.

The spelling of 5371328 in words is "five million, three hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 41 46 64 82 89 92 164 178 184 328 356 368 656 712 736 943 1312 1424 1472 1886 2047 2624 2848 3649 3772 4094 5696 7298 7544 8188 14596 15088 16376 29192 30176 32752 58384 60352 65504 83927 116768 131008 167854 233536 335708 671416 1342832 2685664 5371328