Search a number
-
+
253311500 = 22531338971
BaseRepresentation
bin11110001100100…
…11101000001100
3122122122120001102
433012103220030
51004321432000
641045202232
76164053331
oct1706235014
9578576042
10253311500
1111aa95752
1270a00378
1340631a80
14258dc988
151738a3d5
hexf193a0c

253311500 has 48 divisors (see below), whose sum is σ = 595803936. Its totient is φ = 93528000.

The previous prime is 253311481. The next prime is 253311503. The reversal of 253311500 is 5113352.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (253311503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12986 + ... + 25985.

It is an arithmetic number, because the mean of its divisors is an integer number (12412582).

Almost surely, 2253311500 is an apocalyptic number.

253311500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253311500 is an abundant number, since it is smaller than the sum of its proper divisors (342492436).

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

253311500 is a wasteful number, since it uses less digits than its factorization.

253311500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39003 (or 38991 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 253311500 is about 15915.7626270311. The cubic root of 253311500 is about 632.7298190509.

Adding to 253311500 its reverse (5113352), we get a palindrome (258424852).

The spelling of 253311500 in words is "two hundred fifty-three million, three hundred eleven thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 6500 38971 77942 155884 194855 389710 506623 779420 974275 1013246 1948550 2026492 2533115 3897100 4871375 5066230 9742750 10132460 12665575 19485500 25331150 50662300 63327875 126655750 253311500