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13883856 = 243725903
BaseRepresentation
bin110100111101…
…100111010000
3222010101001220
4310331213100
512023240411
61213325040
7226003500
oct64754720
928111056
1013883856
117923168
124796780
132b515cc
141bb5a00
151343b06
hexd3d9d0

13883856 has 60 divisors (see below), whose sum is σ = 41729472. Its totient is φ = 3966144.

The previous prime is 13883839. The next prime is 13883861. The reversal of 13883856 is 65838831.

It is a super-2 number, since 2×138838562 = 385522914857472, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600 + ... + 5303.

Almost surely, 213883856 is an apocalyptic number.

13883856 is a gapful number since it is divisible by the number (16) 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 13883856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20864736).

13883856 is an abundant number, since it is smaller than the sum of its proper divisors (27845616).

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

13883856 is a wasteful number, since it uses less digits than its factorization.

13883856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928 (or 5915 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 13883856 is about 3726.1046684171. The cubic root of 13883856 is about 240.3458901494.

The spelling of 13883856 in words is "thirteen million, eight hundred eighty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 5903 11806 17709 23612 35418 41321 47224 70836 82642 94448 123963 141672 165284 247926 283344 289247 330568 495852 578494 661136 867741 991704 1156988 1735482 1983408 2313976 3470964 4627952 6941928 13883856