Search a number
-
+
1148110848 = 21136769
BaseRepresentation
bin100010001101110…
…1100100000000000
32222000101002000000
41010123230200000
54322404021343
6305532000000
740310531643
oct10433544000
92860332000
101148110848
1153a095745
12280600000
13153b27241
14ac6a3a5a
156abdaed3
hex446ec800

1148110848 has 168 divisors, whose sum is σ = 3446392950. Its totient is φ = 382205952.

The previous prime is 1148110837. The next prime is 1148110889. The reversal of 1148110848 is 8480118411.

It can be written as a sum of positive squares in only one way, i.e., 1021953024 + 126157824 = 31968^2 + 11232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1492608 + ... + 1493376.

Almost surely, 21148110848 is an apocalyptic number.

1148110848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1148110848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723196475).

1148110848 is an abundant number, since it is smaller than the sum of its proper divisors (2298282102).

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

1148110848 is an frugal number, since it uses more digits than its factorization.

1148110848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 1148110848 is about 33883.7844403485. The cubic root of 1148110848 is about 1047.1155445918.

The spelling of 1148110848 in words is "one billion, one hundred forty-eight million, one hundred ten thousand, eight hundred forty-eight".