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5280528 = 2431173137
BaseRepresentation
bin10100001001001100010000
3100221021112010
4110021030100
52322434103
6305102520
762612061
oct24111420
910837463
105280528
112a87380
121927a40
13112b696
149b6568
156e4903
hex509310

5280528 has 80 divisors (see below), whose sum is σ = 15195456. Its totient is φ = 1566720.

The previous prime is 5280521. The next prime is 5280553. The reversal of 5280528 is 8250825.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5280495 and 5280504.

It is not an unprimeable number, because it can be changed into a prime (5280521) 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 15 ways as a sum of consecutive naturals, for example, 38476 + ... + 38612.

Almost surely, 25280528 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 5280528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7597728).

5280528 is an abundant number, since it is smaller than the sum of its proper divisors (9914928).

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

5280528 is a wasteful number, since it uses less digits than its factorization.

5280528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 5280528 is about 2297.9399469960. The cubic root of 5280528 is about 174.1375580218.

Multiplying 5280528 by its reverse (8250825), we get a square (43568712435600 = 66006602).

The spelling of 5280528 in words is "five million, two hundred eighty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 73 88 132 137 146 176 219 264 274 292 411 438 528 548 584 803 822 876 1096 1168 1507 1606 1644 1752 2192 2409 3014 3212 3288 3504 4521 4818 6028 6424 6576 9042 9636 10001 12056 12848 18084 19272 20002 24112 30003 36168 38544 40004 60006 72336 80008 110011 120012 160016 220022 240024 330033 440044 480048 660066 880088 1320132 1760176 2640264 5280528