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5291728 = 2413219103
BaseRepresentation
bin10100001011111011010000
3100221211212221
4110023323100
52323313403
6305230424
762656531
oct24137320
910854787
105291728
112a94832
121932414
131133800
149ba688
156e7dbd
hex50bed0

5291728 has 60 divisors (see below), whose sum is σ = 11799840. Its totient is φ = 2291328.

The previous prime is 5291723. The next prime is 5291753. The reversal of 5291728 is 8271925.

It is a junction number, because it is equal to n+sod(n) for n = 5291693 and 5291702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5291723) 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, 51325 + ... + 51427.

It is an arithmetic number, because the mean of its divisors is an integer number (196664).

Almost surely, 25291728 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 5291728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5899920).

5291728 is an abundant number, since it is smaller than the sum of its proper divisors (6508112).

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

5291728 is a wasteful number, since it uses less digits than its factorization.

5291728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its digits is 10080, while the sum is 34.

The square root of 5291728 is about 2300.3756215018. The cubic root of 5291728 is about 174.2605863365.

It can be divided in two parts, 52 and 91728, that multiplied together give a square (4769856 = 21842).

The spelling of 5291728 in words is "five million, two hundred ninety-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 103 104 152 169 206 208 247 304 338 412 494 676 824 988 1339 1352 1648 1957 1976 2678 2704 3211 3914 3952 5356 6422 7828 10712 12844 15656 17407 21424 25441 25688 31312 34814 50882 51376 69628 101764 139256 203528 278512 330733 407056 661466 1322932 2645864 5291728