Search a number
-
+
5396976 = 243313312
BaseRepresentation
bin10100100101100111110000
3101011012021000
4110211213300
52340200401
6311402000
763605424
oct24454760
911135230
105396976
113056912
121983300
13116c6a0
14a06b84
15719186
hex5259f0

5396976 has 120 divisors (see below), whose sum is σ = 17238480. Its totient is φ = 1607040.

The previous prime is 5396959. The next prime is 5396977. The reversal of 5396976 is 6796935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5396977) 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 23 ways as a sum of consecutive naturals, for example, 174081 + ... + 174111.

It is an arithmetic number, because the mean of its divisors is an integer number (143654).

Almost surely, 25396976 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 5396976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8619240).

5396976 is an abundant number, since it is smaller than the sum of its proper divisors (11841504).

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

5396976 is a wasteful number, since it uses less digits than its factorization.

5396976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 49 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 5396976 is about 2323.1392554042. The cubic root of 5396976 is about 175.4083091791.

It can be divided in two parts, 53969 and 76, that added together give a palindrome (54045).

The spelling of 5396976 in words is "five million, three hundred ninety-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 62 72 78 93 104 108 117 124 144 156 186 208 216 234 248 279 312 351 372 403 432 468 496 558 624 702 744 806 837 936 961 1116 1209 1404 1488 1612 1674 1872 1922 2232 2418 2808 2883 3224 3348 3627 3844 4464 4836 5616 5766 6448 6696 7254 7688 8649 9672 10881 11532 12493 13392 14508 15376 17298 19344 21762 23064 24986 25947 29016 34596 37479 43524 46128 49972 51894 58032 69192 74958 87048 99944 103788 112437 138384 149916 174096 199888 207576 224874 299832 337311 415152 449748 599664 674622 899496 1349244 1798992 2698488 5396976