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13867488 = 2532179269
BaseRepresentation
bin110100111001…
…100111100000
3222002112121200
4310321213200
512022224423
61213121200
7225604665
oct64714740
928075550
1013867488
117911938
124789200
132b4701b
141bada6c
15133dd43
hexd399e0

13867488 has 72 divisors (see below), whose sum is σ = 39803400. Its totient is φ = 4579584.

The previous prime is 13867439. The next prime is 13867493. The reversal of 13867488 is 88476831.

13867488 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51418 + ... + 51686.

It is an arithmetic number, because the mean of its divisors is an integer number (552825).

Almost surely, 213867488 is an apocalyptic number.

13867488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13867488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19901700).

13867488 is an abundant number, since it is smaller than the sum of its proper divisors (25935912).

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

13867488 is a wasteful number, since it uses less digits than its factorization.

13867488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 453 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 13867488 is about 3723.9076250627. The cubic root of 13867488 is about 240.2514032265.

The spelling of 13867488 in words is "thirteen million, eight hundred sixty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 179 269 288 358 537 538 716 807 1074 1076 1432 1611 1614 2148 2152 2421 2864 3222 3228 4296 4304 4842 5728 6444 6456 8592 8608 9684 12888 12912 17184 19368 25776 25824 38736 48151 51552 77472 96302 144453 192604 288906 385208 433359 577812 770416 866718 1155624 1540832 1733436 2311248 3466872 4622496 6933744 13867488