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4872222784 = 261121348397
BaseRepresentation
bin1001000100110100…
…00011100001000000
3110120112221120011201
410202122003201000
534434242112114
62123244350544
7231511132102
oct44232034100
913515846151
104872222784
112080274100
12b3b845454
135c8540a80
1434311d572
151d7b16874
hex122683840

4872222784 has 84 divisors (see below), whose sum is σ = 11444868652. Its totient is φ = 2044247040.

The previous prime is 4872222739. The next prime is 4872222799.

4872222784 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2258150400 + 2614072384 = 47520^2 + 51128^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76474 + ... + 124870.

Almost surely, 24872222784 is an apocalyptic number.

4872222784 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4872222784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5722434326).

4872222784 is an abundant number, since it is smaller than the sum of its proper divisors (6572645868).

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

4872222784 is a wasteful number, since it uses less digits than its factorization.

4872222784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48444 (or 48423 counting only the distinct ones).

The product of its digits is 802816, while the sum is 46.

The square root of 4872222784 is about 69801.3093286938. The cubic root of 4872222784 is about 1695.2836731070.

The spelling of 4872222784 in words is "four billion, eight hundred seventy-two million, two hundred twenty-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 121 143 176 208 242 286 352 416 484 572 704 832 968 1144 1573 1936 2288 3146 3872 4576 6292 7744 9152 12584 25168 48397 50336 96794 100672 193588 387176 532367 629161 774352 1064734 1258322 1548704 2129468 2516644 3097408 4258936 5033288 5856037 6920771 8517872 10066576 11712074 13841542 17035744 20133152 23424148 27683084 34071488 40266304 46848296 55366168 76128481 93696592 110732336 152256962 187393184 221464672 304513924 374786368 442929344 609027848 1218055696 2436111392 4872222784