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6616404 = 22362269
BaseRepresentation
bin11001001111010101010100
3110110011000000
4121033111110
53143211104
6353451300
7110144544
oct31172524
913404000
106616404
11380a003
122270b30
1314a8742
14c43324
158aa639
hex64f554

6616404 has 42 divisors (see below), whose sum is σ = 17367770. Its totient is φ = 2204496.

The previous prime is 6616403. The next prime is 6616447. The reversal of 6616404 is 4046166.

6616404 is a `hidden beast` number, since 6 + 616 + 40 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3992004 + 2624400 = 1998^2 + 1620^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6616403) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1782 + ... + 4050.

Almost surely, 26616404 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 6616404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8683885).

6616404 is an abundant number, since it is smaller than the sum of its proper divisors (10751366).

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

6616404 is a wasteful number, since it uses less digits than its factorization.

6616404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6616404 is about 2572.2371585839. The cubic root of 6616404 is about 187.7330222833.

The spelling of 6616404 in words is "six million, six hundred sixteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2269 2916 4538 6807 9076 13614 20421 27228 40842 61263 81684 122526 183789 245052 367578 551367 735156 1102734 1654101 2205468 3308202 6616404