Search a number
-
+
648106992 = 243213461751
BaseRepresentation
bin100110101000010…
…101001111110000
31200011112020122200
4212220111033300
52311403410432
6144151103200
722026550521
oct4650251760
91604466580
10648106992
11302926415
12161071b00
13a4370480
146210a848
153bd71a7c
hex26a153f0

648106992 has 120 divisors (see below), whose sum is σ = 1960166208. Its totient is φ = 198720000.

The previous prime is 648106973. The next prime is 648106999. The reversal of 648106992 is 299601846.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648106999) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 862617 + ... + 863367.

Almost surely, 2648106992 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 648106992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980083104).

648106992 is an abundant number, since it is smaller than the sum of its proper divisors (1312059216).

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

648106992 is a wasteful number, since it uses less digits than its factorization.

648106992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 648106992 is about 25457.9455573304. The cubic root of 648106992 is about 865.3973658493.

The spelling of 648106992 in words is "six hundred forty-eight million, one hundred six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 461 468 624 751 922 936 1383 1502 1844 1872 2253 2766 3004 3688 4149 4506 5532 5993 6008 6759 7376 8298 9012 9763 11064 11986 12016 13518 16596 17979 18024 19526 22128 23972 27036 29289 33192 35958 36048 39052 47944 53937 54072 58578 66384 71916 78104 87867 95888 107874 108144 117156 143832 156208 175734 215748 234312 287664 346211 351468 431496 468624 692422 702936 862992 1038633 1384844 1405872 2077266 2769688 3115899 4154532 4500743 5539376 6231798 8309064 9001486 12463596 13502229 16618128 18002972 24927192 27004458 36005944 40506687 49854384 54008916 72011888 81013374 108017832 162026748 216035664 324053496 648106992