Search a number
-
+
253758880 = 2551585993
BaseRepresentation
bin11110010000000…
…00110110100000
3122200111021202001
433020000312200
51004430241010
641102533344
76200625544
oct1710006640
9580437661
10253758880
11120270891
1270b97254
134075a5ab
14259b7a24
1517427c3a
hexf200da0

253758880 has 24 divisors (see below), whose sum is σ = 599505732. Its totient is φ = 101503488.

The previous prime is 253758871. The next prime is 253758907. The reversal of 253758880 is 88857352.

253758880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 203575824 + 50183056 = 14268^2 + 7084^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 253758880.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 792837 + ... + 793156.

Almost surely, 2253758880 is an apocalyptic number.

253758880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253758880 is an abundant number, since it is smaller than the sum of its proper divisors (345746852).

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

253758880 is a wasteful number, since it uses less digits than its factorization.

253758880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586008 (or 1586000 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 46.

The square root of 253758880 is about 15929.8110472158. The cubic root of 253758880 is about 633.1020934819.

The spelling of 253758880 in words is "two hundred fifty-three million, seven hundred fifty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1585993 3171986 6343972 7929965 12687944 15859930 25375888 31719860 50751776 63439720 126879440 253758880