Base | Representation |
---|---|
bin | 111110100001000… |
… | …110010001001000 |
3 | 2201002121210200000 |
4 | 332201012101020 |
5 | 4122002120231 |
6 | 252024443000 |
7 | 34664124000 |
oct | 7641062110 |
9 | 2632553600 |
10 | 1048863816 |
11 | 499068a00 |
12 | 253319460 |
13 | 1393b83a0 |
14 | 9d42b000 |
15 | 621346e6 |
hex | 3e846448 |
1048863816 has 576 divisors, whose sum is σ = 4066608000. Its totient is φ = 251475840.
The previous prime is 1048863811. The next prime is 1048863817. The reversal of 1048863816 is 6183688401.
It is a happy number.
1048863816 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 8 + 638 + 1 + 6 = 666.
It is a super-4 number, since 4×10488638164 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1048863811) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80681826 + ... + 80681838.
Almost surely, 21048863816 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 1048863816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033304000).
1048863816 is an abundant number, since it is smaller than the sum of its proper divisors (3017744184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1048863816 is a wasteful number, since it uses less digits than its factorization.
1048863816 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 77 (or 36 counting only the distinct ones).
The product of its (nonzero) digits is 221184, while the sum is 45.
The square root of 1048863816 is about 32386.1670470588. The cubic root of 1048863816 is about 1016.0296171125.
The spelling of 1048863816 in words is "one billion, forty-eight million, eight hundred sixty-three thousand, eight hundred sixteen".
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