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288252484 = 221326532
BaseRepresentation
bin10001001011100…
…110001001000100
3202002101202001221
4101023212021010
51042243034414
644334130124
710100051152
oct2113461104
9662352057
10288252484
111387903a3
1280650944
1347946a00
142a3d63d2
151a48d224
hex112e6244

288252484 has 27 divisors (see below), whose sum is σ = 547067703. Its totient is φ = 132835872.

The previous prime is 288252469. The next prime is 288252487. The reversal of 288252484 is 484252882.

The square root of 288252484 is 16978.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 111894084 + 176358400 = 10578^2 + 13280^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 288252484.

It is not an unprimeable number, because it can be changed into a prime (288252487) 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 8 ways as a sum of consecutive naturals, for example, 441102 + ... + 441754.

Almost surely, 2288252484 is an apocalyptic number.

288252484 is the 16978-th square number.

It is an amenable number.

288252484 is a deficient number, since it is larger than the sum of its proper divisors (258815219).

288252484 is an equidigital number, since it uses as much as digits as its factorization.

288252484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 668 counting only the distinct ones).

The product of its digits is 327680, while the sum is 43.

The cubic root of 288252484 is about 660.5783757727.

The spelling of 288252484 in words is "two hundred eighty-eight million, two hundred fifty-two thousand, four hundred eighty-four".

Divisors: 1 2 4 13 26 52 169 338 653 676 1306 2612 8489 16978 33956 110357 220714 426409 441428 852818 1705636 5543317 11086634 22173268 72063121 144126242 288252484