Search a number
-
+
16444932 = 22371371429
BaseRepresentation
bin111110101110…
…111000000100
31010221111012120
4332232320010
513202214212
61344245540
7256531260
oct76567004
933844176
1016444932
119312359
1256108b0
13353a23a
1422810a0
15169c88c
hexfaee04

16444932 has 48 divisors (see below), whose sum is σ = 44204160. Its totient is φ = 4660992.

The previous prime is 16444919. The next prime is 16444993. The reversal of 16444932 is 23944461.

16444932 is a modest number, since divided by 4932 gives 1644 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 16444893 and 16444902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10794 + ... + 12222.

It is an arithmetic number, because the mean of its divisors is an integer number (920920).

Almost surely, 216444932 is an apocalyptic number.

16444932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16444932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22102080).

16444932 is an abundant number, since it is smaller than the sum of its proper divisors (27759228).

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

16444932 is a wasteful number, since it uses less digits than its factorization.

16444932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1578 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 16444932 is about 4055.2351349829. The cubic root of 16444932 is about 254.2986340157.

The spelling of 16444932 in words is "sixteen million, four hundred forty-four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 274 411 548 822 959 1429 1644 1918 2858 2877 3836 4287 5716 5754 8574 10003 11508 17148 20006 30009 40012 60018 120036 195773 391546 587319 783092 1174638 1370411 2349276 2740822 4111233 5481644 8222466 16444932