Search a number
-
+
16439742 = 23211791051
BaseRepresentation
bin111110101101…
…100110111110
31010221020002100
4332231212332
513202032432
61344205530
7256510164
oct76554676
933836070
1016439742
119309470
1256098a6
133537a77
14227d234
15169b07c
hexfad9be

16439742 has 48 divisors (see below), whose sum is σ = 39386880. Its totient is φ = 4914000.

The previous prime is 16439677. The next prime is 16439743. The reversal of 16439742 is 24793461.

16439742 is a `hidden beast` number, since 1 + 643 + 9 + 7 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16439697 and 16439706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16439743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15117 + ... + 16167.

It is an arithmetic number, because the mean of its divisors is an integer number (820560).

Almost surely, 216439742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16439742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19693440).

16439742 is an abundant number, since it is smaller than the sum of its proper divisors (22947138).

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

16439742 is a wasteful number, since it uses less digits than its factorization.

16439742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1146 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 16439742 is about 4054.5951709141. The cubic root of 16439742 is about 254.2718790905.

The spelling of 16439742 in words is "sixteen million, four hundred thirty-nine thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 158 198 237 474 711 869 1051 1422 1738 2102 2607 3153 5214 6306 7821 9459 11561 15642 18918 23122 34683 69366 83029 104049 166058 208098 249087 498174 747261 913319 1494522 1826638 2739957 5479914 8219871 16439742