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4882244240 = 245791315897
BaseRepresentation
bin1001000110000000…
…10010001010010000
3110121020210201000202
410203000102022100
534444323303430
62124243234332
7231662251136
oct44300221220
913536721022
104882244240
1120859993a5
12b430789a8
135ca63c323
143445ab756
151d8945d45
hex123012290

4882244240 has 80 divisors (see below), whose sum is σ = 11584615680. Its totient is φ = 1913134080.

The previous prime is 4882244233. The next prime is 4882244249. The reversal of 4882244240 is 424422884.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4882244194 and 4882244203.

It is not an unprimeable number, because it can be changed into a prime (4882244249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 824972 + ... + 830868.

It is an arithmetic number, because the mean of its divisors is an integer number (144807696).

Almost surely, 24882244240 is an apocalyptic number.

4882244240 is a gapful number since it is divisible by the number (40) 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 4882244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5792307840).

4882244240 is an abundant number, since it is smaller than the sum of its proper divisors (6702371440).

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

4882244240 is a wasteful number, since it uses less digits than its factorization.

4882244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6120 (or 6114 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 38.

The square root of 4882244240 is about 69873.0580409932. The cubic root of 4882244240 is about 1696.4451947005.

The spelling of 4882244240 in words is "four billion, eight hundred eighty-two million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 131 158 262 316 395 524 632 655 790 1048 1264 1310 1580 2096 2620 3160 5240 5897 6320 10349 10480 11794 20698 23588 29485 41396 47176 51745 58970 82792 94352 103490 117940 165584 206980 235880 413960 465863 471760 772507 827920 931726 1545014 1863452 2329315 3090028 3726904 3862535 4658630 6180056 7453808 7725070 9317260 12360112 15450140 18634520 30900280 37269040 61028053 61800560 122056106 244112212 305140265 488224424 610280530 976448848 1220561060 2441122120 4882244240