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4249344 = 28311503
BaseRepresentation
bin10000001101011100000000
321222220000010
4100031130000
52041434334
6231024520
751055521
oct20153400
97886003
104249344
112442660
12150b140
13b5a208
147c8848
1558e0e9
hex40d700

4249344 has 72 divisors (see below), whose sum is σ = 12362112. Its totient is φ = 1285120.

The previous prime is 4249327. The next prime is 4249361. The reversal of 4249344 is 4439424.

It is an interprime number because it is at equal distance from previous prime (4249327) and next prime (4249361).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8197 + ... + 8699.

It is an arithmetic number, because the mean of its divisors is an integer number (171696).

Almost surely, 24249344 is an apocalyptic number.

4249344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4249344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181056).

4249344 is an abundant number, since it is smaller than the sum of its proper divisors (8112768).

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

4249344 is a wasteful number, since it uses less digits than its factorization.

4249344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 519 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 4249344 is about 2061.3937032988. The cubic root of 4249344 is about 161.9722555749.

The spelling of 4249344 in words is "four million, two hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 503 528 704 768 1006 1056 1408 1509 2012 2112 2816 3018 4024 4224 5533 6036 8048 8448 11066 12072 16096 16599 22132 24144 32192 33198 44264 48288 64384 66396 88528 96576 128768 132792 177056 193152 265584 354112 386304 531168 708224 1062336 1416448 2124672 4249344