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13849312 = 252331607
BaseRepresentation
bin110100110101…
…001011100000
3222001121200111
4310311023200
512021134222
61212501104
7225501001
oct64651340
928047614
1013849312
1178aa214
12477a794
132b3b979
141ba71a8
151338777
hexd352e0

13849312 has 48 divisors (see below), whose sum is σ = 29417472. Its totient is φ = 6399360.

The previous prime is 13849307. The next prime is 13849313. The reversal of 13849312 is 21394831.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13849313) 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, 22513 + ... + 23119.

It is an arithmetic number, because the mean of its divisors is an integer number (612864).

Almost surely, 213849312 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 13849312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14708736).

13849312 is an abundant number, since it is smaller than the sum of its proper divisors (15568160).

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

13849312 is a wasteful number, since it uses less digits than its factorization.

13849312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 663 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 13849312 is about 3721.4663776528. The cubic root of 13849312 is about 240.1463921689.

It can be divided in two parts, 13849 and 312, that added together give a square (14161 = 1192).

The spelling of 13849312 in words is "thirteen million, eight hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 248 368 496 607 713 736 992 1214 1426 2428 2852 4856 5704 9712 11408 13961 18817 19424 22816 27922 37634 55844 75268 111688 150536 223376 301072 432791 446752 602144 865582 1731164 3462328 6924656 13849312