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13949268 = 22319193317
BaseRepresentation
bin110101001101…
…100101010100
3222020200210120
4311031211110
512032334033
61214551540
7226365264
oct65154524
928220716
1013949268
117968323
1248085b0
132b75308
141bd17a4
1513581b3
hexd4d954

13949268 has 48 divisors (see below), whose sum is σ = 34547520. Its totient is φ = 4368384.

The previous prime is 13949263. The next prime is 13949281. The reversal of 13949268 is 86294931.

13949268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13949263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43846 + ... + 44162.

It is an arithmetic number, because the mean of its divisors is an integer number (719740).

Almost surely, 213949268 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 13949268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17273760).

13949268 is an abundant number, since it is smaller than the sum of its proper divisors (20598252).

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

13949268 is a wasteful number, since it uses less digits than its factorization.

13949268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 534 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 13949268 is about 3734.8718853530. The cubic root of 13949268 is about 240.7227518282.

The spelling of 13949268 in words is "thirteen million, nine hundred forty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 193 228 317 386 579 634 772 951 1158 1268 1902 2316 3667 3804 6023 7334 11001 12046 14668 18069 22002 24092 36138 44004 61181 72276 122362 183543 244724 367086 734172 1162439 2324878 3487317 4649756 6974634 13949268