Search a number
-
+
252841300 = 225223211521
BaseRepresentation
bin11110001001000…
…00110101010100
3122121202200001121
433010200311110
51004211410200
641031133324
76160054435
oct1704406524
9577680047
10252841300
1111a7a4458
1270814244
13404c8a4a
142581948c
15172e5e1a
hexf120d54

252841300 has 72 divisors (see below), whose sum is σ = 576338112. Its totient is φ = 96096000.

The previous prime is 252841297. The next prime is 252841307. The reversal of 252841300 is 3148252.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252841307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485040 + ... + 485560.

It is an arithmetic number, because the mean of its divisors is an integer number (8004696).

Almost surely, 2252841300 is an apocalyptic number.

252841300 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 252841300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288169056).

252841300 is an abundant number, since it is smaller than the sum of its proper divisors (323496812).

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

252841300 is a wasteful number, since it uses less digits than its factorization.

252841300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 252841300 is about 15900.9842462660. The cubic root of 252841300 is about 632.3380828798.

Adding to 252841300 its reverse (3148252), we get a palindrome (255989552).

The spelling of 252841300 in words is "two hundred fifty-two million, eight hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 211 230 422 460 521 575 844 1042 1055 1150 2084 2110 2300 2605 4220 4853 5210 5275 9706 10420 10550 11983 13025 19412 21100 23966 24265 26050 47932 48530 52100 59915 97060 109931 119830 121325 219862 239660 242650 299575 439724 485300 549655 599150 1099310 1198300 2198620 2528413 2748275 5056826 5496550 10113652 10993100 12642065 25284130 50568260 63210325 126420650 252841300