Search a number
-
+
455877268 = 227111678863
BaseRepresentation
bin11011001011000…
…010001010010100
31011202210222001021
4123023002022110
51413201033033
6113123010524
714203615150
oct3313021224
91152728037
10455877268
11214370380
12108809a44
13735a6b82
144478c060
152a04eb2d
hex1b2c2294

455877268 has 48 divisors (see below), whose sum is σ = 1000710144. Its totient is φ = 176531040.

The previous prime is 455877263. The next prime is 455877293. The reversal of 455877268 is 862778554.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455877263) 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, 47005 + ... + 55867.

It is an arithmetic number, because the mean of its divisors is an integer number (20848128).

Almost surely, 2455877268 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 455877268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500355072).

455877268 is an abundant number, since it is smaller than the sum of its proper divisors (544832876).

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

455877268 is a wasteful number, since it uses less digits than its factorization.

455877268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9052 (or 9050 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 52.

The square root of 455877268 is about 21351.2825844257. The cubic root of 455877268 is about 769.6311653455.

The spelling of 455877268 in words is "four hundred fifty-five million, eight hundred seventy-seven thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 167 308 334 668 1169 1837 2338 3674 4676 7348 8863 12859 17726 25718 35452 51436 62041 97493 124082 194986 248164 389972 682451 1364902 1480121 2729804 2960242 5920484 10360847 16281331 20721694 32562662 41443388 65125324 113969317 227938634 455877268