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13976448 = 273172141
BaseRepresentation
bin110101010100…
…001110000000
3222022002002020
4311110032000
512034221243
61215321440
7226540443
oct65241600
928262066
1013976448
117986792
124820280
132b847b5
141bdb65a
151361283
hexd54380

13976448 has 64 divisors (see below), whose sum is σ = 39327120. Its totient is φ = 4382720.

The previous prime is 13976441. The next prime is 13976483. The reversal of 13976448 is 84467931.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13976441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5458 + ... + 7598.

Almost surely, 213976448 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 13976448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19663560).

13976448 is an abundant number, since it is smaller than the sum of its proper divisors (25350672).

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

13976448 is a wasteful number, since it uses less digits than its factorization.

13976448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2163 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 13976448 is about 3738.5087936235. The cubic root of 13976448 is about 240.8789989621.

The spelling of 13976448 in words is "thirteen million, nine hundred seventy-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2141 2176 3264 4282 6423 6528 8564 12846 17128 25692 34256 36397 51384 68512 72794 102768 109191 137024 145588 205536 218382 274048 291176 411072 436764 582352 822144 873528 1164704 1747056 2329408 3494112 4658816 6988224 13976448