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6416442 = 233313833
BaseRepresentation
bin11000011110100000111010
3110001222201000
4120132200322
53120311232
6345305430
7105352554
oct30364072
913058630
106416442
11369284a
122195276
131438716
14bd04d4
1586b27c
hex61e83a

6416442 has 32 divisors (see below), whose sum is σ = 14722560. Its totient is φ = 2069280.

The previous prime is 6416437. The next prime is 6416447. The reversal of 6416442 is 2446146.

It is an interprime number because it is at equal distance from previous prime (6416437) and next prime (6416447).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6416447) 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 15 ways as a sum of consecutive naturals, for example, 243 + ... + 3590.

It is an arithmetic number, because the mean of its divisors is an integer number (460080).

Almost surely, 26416442 is an apocalyptic number.

6416442 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6416442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7361280).

6416442 is an abundant number, since it is smaller than the sum of its proper divisors (8306118).

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

6416442 is a wasteful number, since it uses less digits than its factorization.

6416442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875 (or 3869 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 6416442 is about 2533.0696792627. The cubic root of 6416442 is about 185.8224111410.

The spelling of 6416442 in words is "six million, four hundred sixteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 3833 7666 11499 22998 34497 68994 103491 118823 206982 237646 356469 712938 1069407 2138814 3208221 6416442