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4249404 = 2232412879
BaseRepresentation
bin10000001101011100111100
321222220002100
4100031130330
52041440104
6231025100
751055635
oct20153474
97886070
104249404
112442705
12150b190
13b5a253
147c888c
1558e139
hex40d73c

4249404 has 36 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 1381440.

The previous prime is 4249391. The next prime is 4249409. The reversal of 4249404 is 4049424.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4249409) 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 11 ways as a sum of consecutive naturals, for example, 37 + ... + 2915.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 24249404 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 4249404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

4249404 is an abundant number, since it is smaller than the sum of its proper divisors (6757956).

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

4249404 is a wasteful number, since it uses less digits than its factorization.

4249404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2925 counting only the distinct ones).

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

The square root of 4249404 is about 2061.4082565082. The cubic root of 4249404 is about 161.9730179113.

The spelling of 4249404 in words is "four million, two hundred forty-nine thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 2879 5758 8637 11516 17274 25911 34548 51822 103644 118039 236078 354117 472156 708234 1062351 1416468 2124702 4249404