Base | Representation |
---|---|
bin | 111110111100000… |
… | …000000100000000 |
3 | 2201120220002211200 |
4 | 332330000010000 |
5 | 4130303310123 |
6 | 252435541200 |
7 | 35111066100 |
oct | 7674000400 |
9 | 2646802750 |
10 | 1055916288 |
11 | 4a2045599 |
12 | 25575a800 |
13 | 13a9b744b |
14 | a0345200 |
15 | 62a79143 |
hex | 3ef00100 |
1055916288 has 324 divisors, whose sum is σ = 3635049600. Its totient is φ = 293787648.
The previous prime is 1055916271. The next prime is 1055916313. The reversal of 1055916288 is 8826195501.
It is a happy number.
1055916288 is a `hidden beast` number, since 1 + 0 + 559 + 16 + 2 + 88 = 666.
It is a super-2 number, since 2×10559162882 = 2229918414527397888, which contains 22 as substring.
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, 5306013 + ... + 5306211.
Almost surely, 21055916288 is an apocalyptic number.
1055916288 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 1055916288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817524800).
1055916288 is an abundant number, since it is smaller than the sum of its proper divisors (2579133312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1055916288 is a wasteful number, since it uses less digits than its factorization.
1055916288 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 282 (or 258 counting only the distinct ones).
The product of its (nonzero) digits is 172800, while the sum is 45.
The square root of 1055916288 is about 32494.8655636548. The cubic root of 1055916288 is about 1018.3017646571.
The spelling of 1055916288 in words is "one billion, fifty-five million, nine hundred sixteen thousand, two hundred eighty-eight".
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