Search a number
-
+
255332500 = 2254109937
BaseRepresentation
bin11110011100000…
…01000010010100
3122210110020100021
433032001002110
51010331120000
641200354524
76220201423
oct1716010224
9583406307
10255332500
111211460a5
1271615a44
1340b8b927
1425ca72ba
151763911a
hexf381094

255332500 has 60 divisors (see below), whose sum is σ = 564085060. Its totient is φ = 101088000.

The previous prime is 255332447. The next prime is 255332521. The reversal of 255332500 is 5233552.

It can be written as a sum of positive squares in 10 ways, for example, as 229159044 + 26173456 = 15138^2 + 5116^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 272032 + ... + 272968.

Almost surely, 2255332500 is an apocalyptic number.

255332500 is a gapful number since it is divisible by the number (20) 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 255332500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282042530).

255332500 is an abundant number, since it is smaller than the sum of its proper divisors (308752560).

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

255332500 is a wasteful number, since it uses less digits than its factorization.

255332500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 25.

The square root of 255332500 is about 15979.1270099464. The cubic root of 255332500 is about 634.4080705417.

It can be divided in two parts, 2553 and 32500, that added together give a palindrome (35053).

The spelling of 255332500 in words is "two hundred fifty-five million, three hundred thirty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 125 218 250 436 500 545 625 937 1090 1250 1874 2180 2500 2725 3748 4685 5450 9370 10900 13625 18740 23425 27250 46850 54500 68125 93700 102133 117125 136250 204266 234250 272500 408532 468500 510665 585625 1021330 1171250 2042660 2342500 2553325 5106650 10213300 12766625 25533250 51066500 63833125 127666250 255332500