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5206858848 = 25348922571
BaseRepresentation
bin1001101100101101…
…00101110001100000
3111102212121211120000
410312112211301200
541130423440343
62220401020000
7243013366332
oct46626456140
914385554500
105206858848
112232155134
121013924600
1364c977a89
1437574b452
152071b7ed3
hex1365a5c60

5206858848 has 120 divisors (see below), whose sum is σ = 15485972040. Its totient is φ = 1716042240.

The previous prime is 5206858847. The next prime is 5206858871. The reversal of 5206858848 is 8488586025.

It is a happy number.

5206858848 is a `hidden beast` number, since 52 + 0 + 6 + 8 + 588 + 4 + 8 = 666.

It is a super-2 number, since 2×52068588482 = 54222758125991774208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5206858794 and 5206858803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5206858843) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219403 + ... + 241973.

It is an arithmetic number, because the mean of its divisors is an integer number (129049767).

Almost surely, 25206858848 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 5206858848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7742986020).

5206858848 is an abundant number, since it is smaller than the sum of its proper divisors (10279113192).

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

5206858848 is a wasteful number, since it uses less digits than its factorization.

5206858848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22682 (or 22665 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The square root of 5206858848 is about 72158.5673915440. The cubic root of 5206858848 is about 1733.2395942732.

The spelling of 5206858848 in words is "five billion, two hundred six million, eight hundred fifty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 89 96 108 144 162 178 216 267 288 324 356 432 534 648 712 801 864 1068 1296 1424 1602 2136 2403 2592 2848 3204 4272 4806 6408 7209 8544 9612 12816 14418 19224 22571 25632 28836 38448 45142 57672 67713 76896 90284 115344 135426 180568 203139 230688 270852 361136 406278 541704 609417 722272 812556 1083408 1218834 1625112 1828251 2008819 2166816 2437668 3250224 3656502 4017638 4875336 6026457 6500448 7313004 8035276 9750672 12052914 14626008 16070552 18079371 19501344 24105828 29252016 32141104 36158742 48211656 54238113 58504032 64282208 72317484 96423312 108476226 144634968 162714339 192846624 216952452 289269936 325428678 433904904 578539872 650857356 867809808 1301714712 1735619616 2603429424 5206858848