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6448523248 = 242346337847
BaseRepresentation
bin1100000000101110…
…01010011111110000
3121122102000220220101
412000113022133300
5101201310220443
62543514122144
7315541354216
oct60027123760
917572026811
106448523248
11280a028a62
1212bb720354
137b9c9953b
14452604cb6
1527b1d384d
hex1805ca7f0

6448523248 has 40 divisors (see below), whose sum is σ = 13065735168. Its totient is φ = 3077333952.

The previous prime is 6448523227. The next prime is 6448523261. The reversal of 6448523248 is 8423258446.

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

It is a junction number, because it is equal to n+sod(n) for n = 6448523198 and 6448523207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151461 + ... + 189307.

Almost surely, 26448523248 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 6448523248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6532867584).

6448523248 is an abundant number, since it is smaller than the sum of its proper divisors (6617211920).

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

6448523248 is a wasteful number, since it uses less digits than its factorization.

6448523248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38341 (or 38335 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 46.

The square root of 6448523248 is about 80302.6976383733. The cubic root of 6448523248 is about 1861.3159115951.

The spelling of 6448523248 in words is "six billion, four hundred forty-eight million, five hundred twenty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 23 46 92 184 368 463 926 1852 3704 7408 10649 21298 37847 42596 75694 85192 151388 170384 302776 605552 870481 1740962 3481924 6963848 13927696 17523161 35046322 70092644 140185288 280370576 403032703 806065406 1612130812 3224261624 6448523248