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13997844 = 2232755547
BaseRepresentation
bin110101011001…
…011100010100
3222100011102200
4311121130110
512040412334
61220004500
7226660020
oct65313424
928304380
1013997844
1179a0873
124830730
132b91463
141c05380
151367799
hexd59714

13997844 has 36 divisors (see below), whose sum is σ = 40438944. Its totient is φ = 3999312.

The previous prime is 13997839. The next prime is 13997849. The reversal of 13997844 is 44879931.

13997844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13997839) and next prime (13997849).

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

It is a super-4 number, since 4×139978444 (a number of 30 digits) contains 4444 as substring.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 13997844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13997849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27522 + ... + 28025.

It is an arithmetic number, because the mean of its divisors is an integer number (1123304).

Almost surely, 213997844 is an apocalyptic number.

13997844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13997844 is an abundant number, since it is smaller than the sum of its proper divisors (26441100).

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

13997844 is a wasteful number, since it uses less digits than its factorization.

13997844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55564 (or 55559 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 13997844 is about 3741.3692680622. The cubic root of 13997844 is about 241.0018537187.

It can be divided in two parts, 13997 and 844, that added together give a palindrome (14841).

The spelling of 13997844 in words is "thirteen million, nine hundred ninety-seven thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 55547 111094 166641 222188 333282 388829 499923 666564 777658 999846 1166487 1555316 1999692 2332974 3499461 4665948 6998922 13997844