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13849424 = 241759863
BaseRepresentation
bin110100110101…
…001101010000
3222001121211122
4310311031100
512021140144
61212501412
7225501221
oct64651520
928047748
1013849424
1178aa306
12477a868
132b3ba34
141ba7248
1513387ee
hexd35350

13849424 has 40 divisors (see below), whose sum is σ = 28926720. Its totient is φ = 6399488.

The previous prime is 13849421. The next prime is 13849453. The reversal of 13849424 is 42494831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13849421) 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 7 ways as a sum of consecutive naturals, for example, 15617 + ... + 16479.

It is an arithmetic number, because the mean of its divisors is an integer number (723168).

Almost surely, 213849424 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 13849424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463360).

13849424 is an abundant number, since it is smaller than the sum of its proper divisors (15077296).

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

13849424 is a wasteful number, since it uses less digits than its factorization.

13849424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 941 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 13849424 is about 3721.4814254541. The cubic root of 13849424 is about 240.1470395253.

The spelling of 13849424 in words is "thirteen million, eight hundred forty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 59 68 118 136 236 272 472 863 944 1003 1726 2006 3452 4012 6904 8024 13808 14671 16048 29342 50917 58684 101834 117368 203668 234736 407336 814672 865589 1731178 3462356 6924712 13849424