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5042788352 = 21172311621
BaseRepresentation
bin1001011001001001…
…01101100000000000
3111000102220012010222
410230210231200000
540311423211402
62152220242212
7235651664600
oct45444554000
914012805128
105042788352
112158582588
12b889a0368
13624990644
1435ba3cc00
151e7aa97a2
hex12c92d800

5042788352 has 144 divisors (see below), whose sum is σ = 12115172160. Its totient is φ = 2090188800.

The previous prime is 5042788339. The next prime is 5042788357. The reversal of 5042788352 is 2538872405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5042788357) 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 11 ways as a sum of consecutive naturals, for example, 3110102 + ... + 3111722.

It is an arithmetic number, because the mean of its divisors is an integer number (84133140).

Almost surely, 25042788352 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 5042788352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6057586080).

5042788352 is an abundant number, since it is smaller than the sum of its proper divisors (7072383808).

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

5042788352 is a wasteful number, since it uses less digits than its factorization.

5042788352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 44.

The square root of 5042788352 is about 71012.5929113985. The cubic root of 5042788352 is about 1714.8399017564.

The spelling of 5042788352 in words is "five billion, forty-two million, seven hundred eighty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 128 196 217 224 248 256 392 434 448 496 512 784 868 896 992 1024 1519 1568 1621 1736 1792 1984 2048 3038 3136 3242 3472 3584 3968 6076 6272 6484 6944 7168 7936 11347 12152 12544 12968 13888 14336 15872 22694 24304 25088 25936 27776 31744 45388 48608 50176 50251 51872 55552 63488 79429 90776 97216 100352 100502 103744 111104 158858 181552 194432 201004 207488 222208 317716 351757 363104 388864 402008 414976 444416 635432 703514 726208 777728 804016 829952 1270864 1407028 1452416 1555456 1608032 1659904 2462299 2541728 2814056 2904832 3110912 3216064 3319808 4924598 5083456 5628112 5809664 6432128 9849196 10166912 11256224 11619328 12864256 19698392 20333824 22512448 23238656 25728512 39396784 40667648 45024896 51457024 78793568 81335296 90049792 102914048 157587136 162670592 180099584 315174272 360199168 630348544 720398336 1260697088 2521394176 5042788352