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4938540544 = 29710691289
BaseRepresentation
bin1001001100101110…
…00010011000000000
3110202011201212001001
410212113002120000
540103231244134
62134014021344
7233244621250
oct44627023000
913664655031
104938540544
11210474a673
12b59aa7854
136091c0552
1434bc63960
151dd866414
hex1265c2600

4938540544 has 80 divisors (see below), whose sum is σ = 11296375200. Its totient is φ = 2112897024.

The previous prime is 4938540493. The next prime is 4938540547. The reversal of 4938540544 is 4450458394.

It is a junction number, because it is equal to n+sod(n) for n = 4938540494 and 4938540503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4938540547) 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 7 ways as a sum of consecutive naturals, for example, 3830652 + ... + 3831940.

It is an arithmetic number, because the mean of its divisors is an integer number (141204690).

Almost surely, 24938540544 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 4938540544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648187600).

4938540544 is an abundant number, since it is smaller than the sum of its proper divisors (6357834656).

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

4938540544 is a wasteful number, since it uses less digits than its factorization.

4938540544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The square root of 4938540544 is about 70274.7504015489. The cubic root of 4938540544 is about 1702.9407627832.

The spelling of 4938540544 in words is "four billion, nine hundred thirty-eight million, five hundred forty thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1069 1289 1792 2138 2578 3584 4276 5156 7483 8552 9023 10312 14966 17104 18046 20624 29932 34208 36092 41248 59864 68416 72184 82496 119728 136832 144368 164992 239456 273664 288736 329984 478912 547328 577472 659968 957824 1154944 1377941 1915648 2309888 2755882 3831296 4619776 5511764 9645587 11023528 19291174 22047056 38582348 44094112 77164696 88188224 154329392 176376448 308658784 352752896 617317568 705505792 1234635136 2469270272 4938540544