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5134528 = 26773157
BaseRepresentation
bin10011100101100011000000
3100122212020201
4103211203000
52303301103
6302014544
761433320
oct23454300
910585221
105134528
112997713
121877454
1310aa0a9
14979280
156b651d
hex4e58c0

5134528 has 56 divisors (see below), whose sum is σ = 11879072. Its totient is φ = 2156544.

The previous prime is 5134517. The next prime is 5134567. The reversal of 5134528 is 8254315.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 5134496 and 5134505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32626 + ... + 32782.

Almost surely, 25134528 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 5134528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939536).

5134528 is an abundant number, since it is smaller than the sum of its proper divisors (6744544).

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

5134528 is a wasteful number, since it uses less digits than its factorization.

5134528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 5134528 is about 2265.9496905271. The cubic root of 5134528 is about 172.5176401480.

It can be divided in two parts, 513 and 4528, that added together give a square (5041 = 712).

The spelling of 5134528 in words is "five million, one hundred thirty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 146 157 224 292 314 448 511 584 628 1022 1099 1168 1256 2044 2198 2336 2512 4088 4396 4672 5024 8176 8792 10048 11461 16352 17584 22922 32704 35168 45844 70336 80227 91688 160454 183376 320908 366752 641816 733504 1283632 2567264 5134528