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5687828224 = 28132277529
BaseRepresentation
bin1010100110000010…
…10101111100000000
3112200101122121111121
411103001111330000
543122041000344
62340221522024
7260643512401
oct52301257400
915611577447
105687828224
1124596a3591
121128a13314
136c84c8a40
143bd58b9a8
15234522684
hex153055f00

5687828224 has 72 divisors (see below), whose sum is σ = 12282273360. Its totient is φ = 2613239808.

The previous prime is 5687828221. The next prime is 5687828243. The reversal of 5687828224 is 4228287865.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5687828221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 751692 + ... + 759220.

It is an arithmetic number, because the mean of its divisors is an integer number (170587130).

Almost surely, 25687828224 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 5687828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6141136680).

5687828224 is an abundant number, since it is smaller than the sum of its proper divisors (6594445136).

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

5687828224 is a wasteful number, since it uses less digits than its factorization.

5687828224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7785 (or 7771 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 52.

The square root of 5687828224 is about 75417.6917175274. The cubic root of 5687828224 is about 1785.0435822777.

The spelling of 5687828224 in words is "five billion, six hundred eighty-seven million, eight hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 227 256 416 454 832 908 1664 1816 2951 3328 3632 5902 7264 7529 11804 14528 15058 23608 29056 30116 47216 58112 60232 94432 97877 120464 188864 195754 240928 377728 391508 481856 755456 783016 963712 1566032 1709083 1927424 3132064 3418166 6264128 6836332 12528256 13672664 22218079 25056512 27345328 44436158 54690656 88872316 109381312 177744632 218762624 355489264 437525248 710978528 1421957056 2843914112 5687828224