Search a number
-
+
5272128 = 2636113
BaseRepresentation
bin10100000111001001000000
3100220212000000
4110013021000
52322202003
6305000000
762545431
oct24071100
910825000
105272128
112a81034
121923000
131127904
149b3488
156e21a3
hex507240

5272128 has 98 divisors (see below), whose sum is σ = 15824454. Its totient is φ = 1741824.

The previous prime is 5272123. The next prime is 5272147. The reversal of 5272128 is 8212725.

It can be written as a sum of positive squares in only one way, i.e., 2985984 + 2286144 = 1728^2 + 1512^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5272121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46600 + ... + 46712.

Almost surely, 25272128 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 5272128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7912227).

5272128 is an abundant number, since it is smaller than the sum of its proper divisors (10552326).

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

5272128 is an equidigital number, since it uses as much as digits as its factorization.

5272128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 5272128 is about 2296.1114955507. Note that the first 3 decimals coincide. The cubic root of 5272128 is about 174.0451725760.

The spelling of 5272128 in words is "five million, two hundred seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 113 144 162 192 216 226 243 288 324 339 432 452 486 576 648 678 729 864 904 972 1017 1296 1356 1458 1728 1808 1944 2034 2592 2712 2916 3051 3616 3888 4068 5184 5424 5832 6102 7232 7776 8136 9153 10848 11664 12204 15552 16272 18306 21696 23328 24408 27459 32544 36612 46656 48816 54918 65088 73224 82377 97632 109836 146448 164754 195264 219672 292896 329508 439344 585792 659016 878688 1318032 1757376 2636064 5272128