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6848224516 = 22722322572
BaseRepresentation
bin1100110000010111…
…11001110100000100
3122200021010211222001
412120023321310010
5103011121141031
63051313115044
7331463643100
oct63013716404
918607124861
106848224516
1129a470a491
1213b1558a84
13851a34b73
1448d72c900
152a1338861
hex1982f9d04

6848224516 has 81 divisors (see below), whose sum is σ = 14630440629. Its totient is φ = 2796423168.

The previous prime is 6848224463. The next prime is 6848224519. The reversal of 6848224516 is 6154228486.

The square root of 6848224516 is 82754.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6742052100 + 106172416 = 82110^2 + 10304^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (6848224519) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26646660 + ... + 26646916.

Almost surely, 26848224516 is an apocalyptic number.

6848224516 is the 82754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6848224516

6848224516 is an abundant number, since it is smaller than the sum of its proper divisors (7782216113).

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

6848224516 is a wasteful number, since it uses less digits than its factorization.

6848224516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 289 counting only the distinct ones).

The product of its digits is 737280, while the sum is 46.

The cubic root of 6848224516 is about 1899.0045123094.

The spelling of 6848224516 in words is "six billion, eight hundred forty-eight million, two hundred twenty-four thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 257 322 514 529 644 1028 1058 1127 1799 2116 2254 3598 3703 4508 5911 7196 7406 11822 12593 14812 23644 25186 25921 41377 50372 51842 66049 82754 103684 132098 135953 165508 264196 271906 289639 462343 543812 579278 924686 951671 1158556 1519127 1849372 1903342 3038254 3236401 3806684 6076508 6472802 6661697 10633889 12945604 13323394 21267778 26646788 34939921 42535556 69879842 74437223 139759684 148874446 244579447 297748892 489158894 978317788 1712056129 3424112258 6848224516