Search a number
-
+
438927016 = 231123114627
BaseRepresentation
bin11010001010010…
…111111010101000
31010120220210200011
4122022113322220
51344331131031
6111315421304
713606550413
oct3212277250
91116823604
10438927016
11205843400
12102bb4834
136cc20938
1442418b7a
15288026b1
hex1a297ea8

438927016 has 48 divisors (see below), whose sum is σ = 933851520. Its totient is φ = 193063200.

The previous prime is 438927001. The next prime is 438927023. The reversal of 438927016 is 610729834.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 438927016.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22695 + ... + 37321.

It is an arithmetic number, because the mean of its divisors is an integer number (19455240).

Almost surely, 2438927016 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 438927016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466925760).

438927016 is an abundant number, since it is smaller than the sum of its proper divisors (494924504).

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

438927016 is a wasteful number, since it uses less digits than its factorization.

438927016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14686 (or 14671 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 438927016 is about 20950.5850992281. The cubic root of 438927016 is about 759.9717302504.

The spelling of 438927016 in words is "four hundred thirty-eight million, nine hundred twenty-seven thousand, sixteen".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 484 682 968 1364 2728 3751 7502 14627 15004 29254 30008 58508 117016 160897 321794 453437 643588 906874 1287176 1769867 1813748 3539734 3627496 4987807 7079468 9975614 14158936 19951228 39902456 54865877 109731754 219463508 438927016