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6144404 = 2272232947
BaseRepresentation
bin10111011100000110010100
3102120011112112
4113130012110
53033110104
6335410152
7103140500
oct27340624
912504475
106144404
113517422
122083958
131371956
14b5d300
1581586e
hex5dc194

6144404 has 72 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 2380224.

The previous prime is 6144403. The next prime is 6144409. The reversal of 6144404 is 4044416.

6144404 = T39 + T40 + ... + T332.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 6144404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6144403) 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 23 ways as a sum of consecutive naturals, for example, 130709 + ... + 130755.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 26144404 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 6144404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

6144404 is an abundant number, since it is smaller than the sum of its proper divisors (7645036).

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

6144404 is a wasteful number, since it uses less digits than its factorization.

6144404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 6144404 is about 2478.7908342577. The cubic root of 6144404 is about 183.1582931698.

The spelling of 6144404 in words is "six million, one hundred forty-four thousand, four hundred four".

Divisors: 1 2 4 7 14 23 28 29 46 47 49 58 92 94 98 116 161 188 196 203 322 329 406 644 658 667 812 1081 1127 1316 1334 1363 1421 2162 2254 2303 2668 2726 2842 4324 4508 4606 4669 5452 5684 7567 9212 9338 9541 15134 18676 19082 30268 31349 32683 38164 52969 62698 65366 66787 105938 125396 130732 133574 211876 219443 267148 438886 877772 1536101 3072202 6144404