Search a number
-
+
5438736 = 2432179211
BaseRepresentation
bin10100101111110100010000
3101020022112200
4110233310100
52343014421
6312323200
764141242
oct24576420
911208480
105438736
113085226
1219a3500
1311856b4
14a18092
15726726
hex52fd10

5438736 has 60 divisors (see below), whose sum is σ = 15378480. Its totient is φ = 1794240.

The previous prime is 5438723. The next prime is 5438753. The reversal of 5438736 is 6378345.

It is a happy number.

5438736 is a `hidden beast` number, since 543 + 87 + 36 = 666.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5438736.

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 11 ways as a sum of consecutive naturals, for example, 25671 + ... + 25881.

It is an arithmetic number, because the mean of its divisors is an integer number (256308).

Almost surely, 25438736 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 5438736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689240).

5438736 is an abundant number, since it is smaller than the sum of its proper divisors (9939744).

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

5438736 is a wasteful number, since it uses less digits than its factorization.

5438736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 395 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 5438736 is about 2332.1097744317. The cubic root of 5438736 is about 175.8595642804.

The spelling of 5438736 in words is "five million, four hundred thirty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 179 211 358 422 537 633 716 844 1074 1266 1432 1611 1688 1899 2148 2532 2864 3222 3376 3798 4296 5064 6444 7596 8592 10128 12888 15192 25776 30384 37769 75538 113307 151076 226614 302152 339921 453228 604304 679842 906456 1359684 1812912 2719368 5438736