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13488381 = 326179311
BaseRepresentation
bin110011011101…
…000011111101
3221101021120200
4303131003331
511423112011
61201034113
7222435504
oct63350375
927337520
1013488381
117683025
124625939
132a435ba
141b1183b
1512b6856
hexcdd0fd

13488381 has 24 divisors (see below), whose sum is σ = 20117760. Its totient is φ = 8704800.

The previous prime is 13488359. The next prime is 13488401. The reversal of 13488381 is 18388431.

13488381 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13488381 - 213 = 13480189 is a prime.

It is a super-3 number, since 3×134883813 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13488311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43216 + ... + 43526.

It is an arithmetic number, because the mean of its divisors is an integer number (838240).

Almost surely, 213488381 is an apocalyptic number.

It is an amenable number.

13488381 is a deficient number, since it is larger than the sum of its proper divisors (6629379).

13488381 is a wasteful number, since it uses less digits than its factorization.

13488381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 454 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 13488381 is about 3672.6531281895. The cubic root of 13488381 is about 238.0418270295.

The spelling of 13488381 in words is "thirteen million, four hundred eighty-eight thousand, three hundred eighty-one".

Divisors: 1 3 9 61 79 183 237 311 549 711 933 2799 4819 14457 18971 24569 43371 56913 73707 170739 221121 1498709 4496127 13488381