Base | Representation |
---|---|
bin | 101000011010000… |
… | …1100011011000000 |
3 | 10111111021210210000 |
4 | 1100310030123000 |
5 | 10234100002043 |
6 | 342312440000 |
7 | 45412421403 |
oct | 12064143300 |
9 | 3444253700 |
10 | 1355859648 |
11 | 636390470 |
12 | 31a0a9000 |
13 | 187b95520 |
14 | cc101d3a |
15 | 7e0762d3 |
hex | 50d0c6c0 |
1355859648 has 560 divisors, whose sum is σ = 4956779520. Its totient is φ = 360806400.
The previous prime is 1355859643. The next prime is 1355859671. The reversal of 1355859648 is 8469585531.
1355859648 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 8 + 596 + 48 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 1355859594 and 1355859603.
It is not an unprimeable number, because it can be changed into a prime (1355859641) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22980643 + ... + 22980701.
It is an arithmetic number, because the mean of its divisors is an integer number (8851392).
Almost surely, 21355859648 is an apocalyptic number.
1355859648 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 1355859648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478389760).
1355859648 is an abundant number, since it is smaller than the sum of its proper divisors (3600919872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1355859648 is a wasteful number, since it uses less digits than its factorization.
1355859648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 138 (or 119 counting only the distinct ones).
The product of its digits is 5184000, while the sum is 54.
The square root of 1355859648 is about 36821.9995111618. Note that the first 3 decimals coincide. The cubic root of 1355859648 is about 1106.8061881156.
The spelling of 1355859648 in words is "one billion, three hundred fifty-five million, eight hundred fifty-nine thousand, six hundred forty-eight".
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