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4882136820 = 22351113156467
BaseRepresentation
bin1001000101111111…
…10111111011110100
3110121020121020200020
410202333313323310
534444311334240
62124241045140
7231661323021
oct44277677364
913536536606
104882136820
112085925720
12b430267b0
135ca602472
14344580548
151d89240d0
hex122ff7ef4

4882136820 has 96 divisors (see below), whose sum is σ = 15026812416. Its totient is φ = 1174492800.

The previous prime is 4882136803. The next prime is 4882136827. The reversal of 4882136820 is 286312884.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4882136827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58227 + ... + 114693.

It is an arithmetic number, because the mean of its divisors is an integer number (156529296).

Almost surely, 24882136820 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 4882136820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7513406208).

4882136820 is an abundant number, since it is smaller than the sum of its proper divisors (10144675596).

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

4882136820 is a wasteful number, since it uses less digits than its factorization.

4882136820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56621 (or 56619 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 4882136820 is about 69872.2893570835. The cubic root of 4882136820 is about 1696.4327527803.

The spelling of 4882136820 in words is "four billion, eight hundred eighty-two million, one hundred thirty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 131 132 165 220 262 330 393 524 655 660 786 1310 1441 1572 1965 2620 2882 3930 4323 5764 7205 7860 8646 14410 17292 21615 28820 43230 56467 86460 112934 169401 225868 282335 338802 564670 621137 677604 847005 1129340 1242274 1694010 1863411 2484548 3105685 3388020 3726822 6211370 7397177 7453644 9317055 12422740 14794354 18634110 22191531 29588708 36985885 37268220 44383062 73971770 81368947 88766124 110957655 147943540 162737894 221915310 244106841 325475788 406844735 443830620 488213682 813689470 976427364 1220534205 1627378940 2441068410 4882136820