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6616416 = 253413
BaseRepresentation
bin11001001111010101100000
3110110011000110
4121033111200
53143211131
6353451320
7110144562
oct31172540
913404013
106616416
11380a014
122270b40
1314a8751
14c43332
158aa646
hex64f560

6616416 has 48 divisors (see below), whose sum is σ = 17802288. Its totient is φ = 2151680.

The previous prime is 6616403. The next prime is 6616447. The reversal of 6616416 is 6146166.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 161356 + ... + 161396.

It is an arithmetic number, because the mean of its divisors is an integer number (370881).

Almost surely, 26616416 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 6616416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8901144).

6616416 is an abundant number, since it is smaller than the sum of its proper divisors (11185872).

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

6616416 is an frugal number, since it uses more digits than its factorization.

6616416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 46 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 6616416 is about 2572.2394911827. The cubic root of 6616416 is about 187.7331357787.

The spelling of 6616416 in words is "six million, six hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1681 1968 3362 3936 5043 6724 10086 13448 20172 26896 40344 53792 68921 80688 137842 161376 206763 275684 413526 551368 827052 1102736 1654104 2205472 3308208 6616416