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5129936 = 247163281
BaseRepresentation
bin10011100100011011010000
3100122121221122
4103210123100
52303124221
6301541412
761414040
oct23443320
910577848
105129936
112994219
121874868
1310a7c86
14977720
156b4eab
hex4e46d0

5129936 has 40 divisors (see below), whose sum is σ = 11469504. Its totient is φ = 2177280.

The previous prime is 5129933. The next prime is 5129947. The reversal of 5129936 is 6399215.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 5129896 and 5129905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5129933) 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, 18116 + ... + 18396.

Almost surely, 25129936 is an apocalyptic number.

5129936 is a gapful number since it is divisible by the number (56) 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 5129936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5734752).

5129936 is an abundant number, since it is smaller than the sum of its proper divisors (6339568).

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

5129936 is a wasteful number, since it uses less digits than its factorization.

5129936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its digits is 14580, while the sum is 35.

The square root of 5129936 is about 2264.9362021920. The cubic root of 5129936 is about 172.4661951540.

The spelling of 5129936 in words is "five million, one hundred twenty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 163 281 326 562 652 1124 1141 1304 1967 2248 2282 2608 3934 4496 4564 7868 9128 15736 18256 31472 45803 91606 183212 320621 366424 641242 732848 1282484 2564968 5129936