Search a number
-
+
948119216 = 241132112
BaseRepresentation
bin111000100000110…
…010011010110000
32110002001110001112
4320200302122300
53420204303331
6234025252452
732331610652
oct7040623260
92402043045
10948119216
11447209000
12225634128
131215739b5
148dcc46d2
155838432b
hex388326b0

948119216 has 60 divisors (see below), whose sum is σ = 2030162472. Its totient is φ = 428920800.

The previous prime is 948119213. The next prime is 948119239. The reversal of 948119216 is 612911849.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not an unprimeable number, because it can be changed into a prime (948119213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4493351 + ... + 4493561.

Almost surely, 2948119216 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 948119216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015081236).

948119216 is an abundant number, since it is smaller than the sum of its proper divisors (1082043256).

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

948119216 is an equidigital number, since it uses as much as digits as its factorization.

948119216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 224 counting only the distinct ones).

The product of its digits is 31104, while the sum is 41.

The square root of 948119216 is about 30791.5445536595. The cubic root of 948119216 is about 982.3984070097.

The spelling of 948119216 in words is "nine hundred forty-eight million, one hundred nineteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 211 242 422 484 844 968 1331 1688 1936 2321 2662 3376 4642 5324 9284 10648 18568 21296 25531 37136 44521 51062 89042 102124 178084 204248 280841 356168 408496 489731 561682 712336 979462 1123364 1958924 2246728 3917848 4493456 5387041 7835696 10774082 21548164 43096328 59257451 86192656 118514902 237029804 474059608 948119216