Base | Representation |
---|---|
bin | 11000011110101… |
… | …10111000000000 |
3 | 112022101222121020 |
4 | 30033112320000 |
5 | 410032234243 |
6 | 32213225440 |
7 | 5042316120 |
oct | 1417267000 |
9 | 468358536 |
10 | 205352448 |
11 | a5a09374 |
12 | 58932280 |
13 | 3370c632 |
14 | 1d3b6c80 |
15 | 13065283 |
hex | c3d6e00 |
205352448 has 160 divisors (see below), whose sum is σ = 636387840. Its totient is φ = 57630720.
The previous prime is 205352443. The next prime is 205352461. The reversal of 205352448 is 844253502.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (205352443) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763258 + ... + 763526.
It is an arithmetic number, because the mean of its divisors is an integer number (3977424).
Almost surely, 2205352448 is an apocalyptic number.
205352448 is a gapful number since it is divisible by the number (28) 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 205352448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318193920).
205352448 is an abundant number, since it is smaller than the sum of its proper divisors (431035392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
205352448 is an equidigital number, since it uses as much as digits as its factorization.
205352448 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 368 (or 352 counting only the distinct ones).
The product of its (nonzero) digits is 38400, while the sum is 33.
The square root of 205352448 is about 14330.1237956970. The cubic root of 205352448 is about 589.9745732602.
The spelling of 205352448 in words is "two hundred five million, three hundred fifty-two thousand, four hundred forty-eight".
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