Search a number
-
+
1948422108 = 22319101211401
BaseRepresentation
bin111010000100010…
…1000111111011100
312000210022002122210
41310020220333130
512442244001413
6521201240420
766166212633
oct16410507734
95023262583
101948422108
1190a919406
12464633110
132508889b9
14146ab051a
15b60c53c3
hex74228fdc

1948422108 has 96 divisors (see below), whose sum is σ = 4867994880. Its totient is φ = 604800000.

The previous prime is 1948422107. The next prime is 1948422143. The reversal of 1948422108 is 8012248491.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948422107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4858708 + ... + 4859108.

It is an arithmetic number, because the mean of its divisors is an integer number (50708280).

Almost surely, 21948422108 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 1948422108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433997440).

1948422108 is an abundant number, since it is smaller than the sum of its proper divisors (2919572772).

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

1948422108 is a wasteful number, since it uses less digits than its factorization.

1948422108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 1948422108 is about 44140.9346072328. The cubic root of 1948422108 is about 1248.9959100320.

The spelling of 1948422108 in words is "one billion, nine hundred forty-eight million, four hundred twenty-two thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 101 114 202 211 228 303 401 404 422 606 633 802 844 1203 1212 1266 1604 1919 2406 2532 3838 4009 4812 5757 7619 7676 8018 11514 12027 15238 16036 21311 22857 23028 24054 30476 40501 42622 45714 48108 63933 81002 84611 85244 91428 121503 127866 162004 169222 243006 253833 255732 338444 404909 486012 507666 769519 809818 1015332 1214727 1539038 1607609 1619636 2308557 2429454 3078076 3215218 4617114 4822827 4858908 6430436 8545711 9234228 9645654 17091422 19291308 25637133 34182844 51274266 102548532 162368509 324737018 487105527 649474036 974211054 1948422108