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16441992 = 233271719101
BaseRepresentation
bin111110101110…
…001010001000
31010221100011200
4332232022020
513202120432
61344224200
7256516560
oct76561210
933840150
1016441992
119310126
12560b060
133538ab8
14227dda0
15169ba7c
hexfae288

16441992 has 192 divisors, whose sum is σ = 57283200. Its totient is φ = 4147200.

The previous prime is 16441991. The next prime is 16442029. The reversal of 16441992 is 29914461.

It is a happy number.

16441992 is a `hidden beast` number, since 1 + 644 + 1 + 9 + 9 + 2 = 666.

16441992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164419923 (a number of 23 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16441991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162742 + ... + 162842.

It is an arithmetic number, because the mean of its divisors is an integer number (298350).

Almost surely, 216441992 is an apocalyptic number.

16441992 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 16441992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28641600).

16441992 is an abundant number, since it is smaller than the sum of its proper divisors (40841208).

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

16441992 is a wasteful number, since it uses less digits than its factorization.

16441992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 149 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 16441992 is about 4054.8726243866. The cubic root of 16441992 is about 254.2834787378.

The spelling of 16441992 in words is "sixteen million, four hundred forty-one thousand, nine hundred ninety-two".