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5312839552 = 27235973419
BaseRepresentation
bin1001111001010101…
…10111111110000000
3111201021001012202021
410330222313332000
541340041331202
62235104331224
7245441251066
oct47452677600
914637035667
105312839552
112286a60a99
121043313b14
13668903857
14385858036
1521164ea37
hex13cab7f80

5312839552 has 128 divisors (see below), whose sum is σ = 11412576000. Its totient is φ = 2457759744.

The previous prime is 5312839549. The next prime is 5312839559. The reversal of 5312839552 is 2559382135.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 5312839499 and 5312839508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5312839559) 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, 12679599 + ... + 12680017.

It is an arithmetic number, because the mean of its divisors is an integer number (89160750).

Almost surely, 25312839552 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 5312839552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706288000).

5312839552 is an abundant number, since it is smaller than the sum of its proper divisors (6099736448).

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

5312839552 is a wasteful number, since it uses less digits than its factorization.

5312839552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 576 counting only the distinct ones).

The product of its digits is 324000, while the sum is 43.

The square root of 5312839552 is about 72889.2279558509. The cubic root of 5312839552 is about 1744.9201860578.

The spelling of 5312839552 in words is "five billion, three hundred twelve million, eight hundred thirty-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 59 64 73 92 118 128 146 184 236 292 368 419 472 584 736 838 944 1168 1357 1472 1676 1679 1888 2336 2714 2944 3352 3358 3776 4307 4672 5428 6704 6716 7552 8614 9344 9637 10856 13408 13432 17228 19274 21712 24721 26816 26864 30587 34456 38548 43424 49442 53632 53728 61174 68912 77096 86848 98884 99061 107456 122348 137824 154192 173696 197768 198122 214912 244696 275648 308384 395536 396244 489392 551296 568583 616768 703501 791072 792488 978784 1137166 1233536 1407002 1582144 1584976 1804633 1957568 2274332 2814004 3164288 3169952 3609266 3915136 4548664 5628008 6339904 7218532 9097328 11256016 12679808 14437064 18194656 22512032 28874128 36389312 41506559 45024064 57748256 72778624 83013118 90048128 115496512 166026236 230993024 332052472 664104944 1328209888 2656419776 5312839552