Search a number
-
+
268255232 = 21472339
BaseRepresentation
bin11111111110101…
…00000000000000
3200200202202222222
433333110000000
51022133131412
642341350212
76435063140
oct1777240000
9620682888
10268255232
11128472143
1275a08368
134376490b
14278ac920
151883d072
hexffd4000

268255232 has 60 divisors (see below), whose sum is σ = 613398240. Its totient is φ = 114917376.

The previous prime is 268255231. The next prime is 268255237. The reversal of 268255232 is 232552862.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 268255192 and 268255201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268255231) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113519 + ... + 115857.

It is an arithmetic number, because the mean of its divisors is an integer number (10223304).

Almost surely, 2268255232 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 268255232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306699120).

268255232 is an abundant number, since it is smaller than the sum of its proper divisors (345143008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

268255232 is an frugal number, since it uses more digits than its factorization.

268255232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2348 counting only the distinct ones).

The product of its digits is 57600, while the sum is 35.

The square root of 268255232 is about 16378.4990765332. The cubic root of 268255232 is about 644.9351792720.

The spelling of 268255232 in words is "two hundred sixty-eight million, two hundred fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 2339 3584 4096 4678 7168 8192 9356 14336 16373 16384 18712 28672 32746 37424 57344 65492 74848 114688 130984 149696 261968 299392 523936 598784 1047872 1197568 2095744 2395136 4191488 4790272 8382976 9580544 16765952 19161088 33531904 38322176 67063808 134127616 268255232