Base | Representation |
---|---|
bin | 111010111100110… |
… | …1011100011000000 |
3 | 12002212001121010200 |
4 | 1311321223203000 |
5 | 13022340223343 |
6 | 524140325200 |
7 | 100006121520 |
oct | 16571534300 |
9 | 5085047120 |
10 | 1978054848 |
11 | 925618980 |
12 | 472543800 |
13 | 256a62773 |
14 | 14a9c5680 |
15 | b89ca4d3 |
hex | 75e6b8c0 |
1978054848 has 336 divisors, whose sum is σ = 7153875456. Its totient is φ = 507617280.
The previous prime is 1978054847. The next prime is 1978054853. The reversal of 1978054848 is 8484508791.
1978054848 is a `hidden beast` number, since 1 + 97 + 8 + 0 + 548 + 4 + 8 = 666.
1978054848 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (336).
It is a junction number, because it is equal to n+sod(n) for n = 1978054794 and 1978054803.
It is not an unprimeable number, because it can be changed into a prime (1978054847) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4568040 + ... + 4568472.
It is an arithmetic number, because the mean of its divisors is an integer number (21291296).
Almost surely, 21978054848 is an apocalyptic number.
1978054848 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 1978054848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576937728).
1978054848 is an abundant number, since it is smaller than the sum of its proper divisors (5175820608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1978054848 is a wasteful number, since it uses less digits than its factorization.
1978054848 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 572 (or 559 counting only the distinct ones).
The product of its (nonzero) digits is 2580480, while the sum is 54.
The square root of 1978054848 is about 44475.3285316702. The cubic root of 1978054848 is about 1255.2958986526.
The spelling of 1978054848 in words is "one billion, nine hundred seventy-eight million, fifty-four thousand, eight hundred forty-eight".
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