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13738944 = 263163439
BaseRepresentation
bin110100011010…
…001111000000
3221212000021210
4310122033000
512004121234
61210250120
7224531142
oct64321700
927760253
1013738944
1178342aa
124726940
132b0066b
141b78c92
151315be9
hexd1a3c0

13738944 has 56 divisors (see below), whose sum is σ = 36657280. Its totient is φ = 4541184.

The previous prime is 13738943. The next prime is 13738961. The reversal of 13738944 is 44983731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13738943) 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, 31077 + ... + 31515.

Almost surely, 213738944 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 13738944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18328640).

13738944 is an abundant number, since it is smaller than the sum of its proper divisors (22918336).

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

13738944 is a wasteful number, since it uses less digits than its factorization.

13738944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 607 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 13738944 is about 3706.6081530154. The cubic root of 13738944 is about 239.5067648015.

The spelling of 13738944 in words is "thirteen million, seven hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 163 192 326 439 489 652 878 978 1304 1317 1756 1956 2608 2634 3512 3912 5216 5268 7024 7824 10432 10536 14048 15648 21072 28096 31296 42144 71557 84288 143114 214671 286228 429342 572456 858684 1144912 1717368 2289824 3434736 4579648 6869472 13738944