Base | Representation |
---|---|
bin | 111110110010111… |
… | …101110111111100 |
3 | 2201102102210012100 |
4 | 332302331313330 |
5 | 4124202014103 |
6 | 252313105100 |
7 | 35052003411 |
oct | 7662756774 |
9 | 2642383170 |
10 | 1053548028 |
11 | 4a0778255 |
12 | 2549b8190 |
13 | 13a368500 |
14 | 9dcca108 |
15 | 6275c5a3 |
hex | 3ecbddfc |
1053548028 has 108 divisors (see below), whose sum is σ = 3009530160. Its totient is φ = 310033152.
The previous prime is 1053548017. The next prime is 1053548053. The reversal of 1053548028 is 8208453501.
It is a happy number.
1053548028 is a `hidden beast` number, since 105 + 3 + 548 + 0 + 2 + 8 = 666.
It is a super-2 number, since 2×10535480282 = 2219926894605377568, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1053547983 and 1053548001.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136168 + ... + 143696.
It is an arithmetic number, because the mean of its divisors is an integer number (27866020).
Almost surely, 21053548028 is an apocalyptic number.
1053548028 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 1053548028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504765080).
1053548028 is an abundant number, since it is smaller than the sum of its proper divisors (1955982132).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1053548028 is a wasteful number, since it uses less digits than its factorization.
1053548028 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7588 (or 7570 counting only the distinct ones).
The product of its (nonzero) digits is 38400, while the sum is 36.
The square root of 1053548028 is about 32458.4045818645. The cubic root of 1053548028 is about 1017.5398960103.
It can be divided in two parts, 1053 and 548028, that added together give a square (549081 = 7412).
The spelling of 1053548028 in words is "one billion, fifty-three million, five hundred forty-eight thousand, twenty-eight".
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