Search a number
-
+
648672432 = 243591132027
BaseRepresentation
bin100110101010011…
…111010010110000
31200012120222021220
4212222133102300
52312030004212
6144211145040
722034424162
oct4652372260
91605528256
10648672432
11303182221
121612a5180
13a450a955
1462216932
153be3438c
hex26a9f4b0

648672432 has 80 divisors (see below), whose sum is σ = 1720068480. Its totient is φ = 210574336.

The previous prime is 648672403. The next prime is 648672443. The reversal of 648672432 is 234276846.

648672432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319003 + ... + 321029.

It is an arithmetic number, because the mean of its divisors is an integer number (21500856).

Almost surely, 2648672432 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 648672432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860034240).

648672432 is an abundant number, since it is smaller than the sum of its proper divisors (1071396048).

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

648672432 is a wasteful number, since it uses less digits than its factorization.

648672432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2204 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 648672432 is about 25469.0485099071. The cubic root of 648672432 is about 865.6489642512.

The spelling of 648672432 in words is "six hundred forty-eight million, six hundred seventy-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 113 118 177 226 236 339 354 452 472 678 708 904 944 1356 1416 1808 2027 2712 2832 4054 5424 6081 6667 8108 12162 13334 16216 20001 24324 26668 32432 40002 48648 53336 80004 97296 106672 119593 160008 229051 239186 320016 358779 458102 478372 687153 717558 916204 956744 1374306 1435116 1832408 1913488 2748612 2870232 3664816 5497224 5740464 10994448 13514009 27028018 40542027 54056036 81084054 108112072 162168108 216224144 324336216 648672432