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5129928 = 233271249
BaseRepresentation
bin10011100100011011001000
3100122121221100
4103210123020
52303124203
6301541400
761414026
oct23443310
910577840
105129928
112994211
121874860
1310a7c7b
14977716
156b4ea3
hex4e46c8

5129928 has 24 divisors (see below), whose sum is σ = 13893750. Its totient is φ = 1709952.

The previous prime is 5129893. The next prime is 5129933. The reversal of 5129928 is 8299215.

It can be written as a sum of positive squares in only one way, i.e., 3175524 + 1954404 = 1782^2 + 1398^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×51299282 = 52632322570368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 57 + 1 + 26 + 94 + 97 + 218 + 82 .

It is a junction number, because it is equal to n+sod(n) for n = 5129892 and 5129901.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35553 + ... + 35696.

Almost surely, 25129928 is an apocalyptic number.

It is an amenable number.

5129928 is an abundant number, since it is smaller than the sum of its proper divisors (8763822).

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

5129928 is a wasteful number, since it uses less digits than its factorization.

5129928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71261 (or 71254 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 5129928 is about 2264.9344361372. The cubic root of 5129928 is about 172.4661055018.

It can be divided in two parts, 512 and 9928, that added together give a triangular number (10440 = T144).

The spelling of 5129928 in words is "five million, one hundred twenty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 71249 142498 213747 284996 427494 569992 641241 854988 1282482 1709976 2564964 5129928