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13839952 = 2472127139
BaseRepresentation
bin110100110010…
…111001010000
3222001010211211
4310302321100
512020334302
61212345504
7225431500
oct64627120
928033754
1013839952
1178a3185
124775294
132b37629
141ba3a00
151335ad7
hexd32e50

13839952 has 60 divisors (see below), whose sum is σ = 31664640. Its totient is φ = 5842368.

The previous prime is 13839941. The next prime is 13839953. The reversal of 13839952 is 25993831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13839953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99499 + ... + 99637.

It is an arithmetic number, because the mean of its divisors is an integer number (527744).

Almost surely, 213839952 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 13839952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832320).

13839952 is an abundant number, since it is smaller than the sum of its proper divisors (17824688).

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

13839952 is a wasteful number, since it uses less digits than its factorization.

13839952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its digits is 58320, while the sum is 40.

The square root of 13839952 is about 3720.2085963021. The cubic root of 13839952 is about 240.0922793291.

The spelling of 13839952 in words is "thirteen million, eight hundred thirty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 127 139 196 254 278 392 508 556 784 889 973 1016 1112 1778 1946 2032 2224 3556 3892 6223 6811 7112 7784 12446 13622 14224 15568 17653 24892 27244 35306 49784 54488 70612 99568 108976 123571 141224 247142 282448 494284 864997 988568 1729994 1977136 3459988 6919976 13839952