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252433300 = 22527251517
BaseRepresentation
bin11110000101111…
…01001110010100
3122120222221101111
433002331032110
51004110331200
641014304404
76153435100
oct1702751624
9576887344
10252433300
1111a545969
1270658104
13403b5122
1425750900
15172650ba
hexf0bd394

252433300 has 54 divisors (see below), whose sum is σ = 637226142. Its totient is φ = 86546880.

The previous prime is 252433283. The next prime is 252433301. The reversal of 252433300 is 3334252.

It can be written as a sum of positive squares in 3 ways, for example, as 69155856 + 183277444 = 8316^2 + 13538^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252433301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20859 + ... + 30658.

Almost surely, 2252433300 is an apocalyptic number.

252433300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252433300 is an abundant number, since it is smaller than the sum of its proper divisors (384792842).

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

252433300 is a wasteful number, since it uses less digits than its factorization.

252433300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51545 (or 51531 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 252433300 is about 15888.1496720040. The cubic root of 252433300 is about 631.9977734526.

Adding to 252433300 its reverse (3334252), we get a palindrome (255767552).

The spelling of 252433300 in words is "two hundred fifty-two million, four hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 51517 103034 206068 257585 360619 515170 721238 1030340 1287925 1442476 1803095 2524333 2575850 3606190 5048666 5151700 7212380 9015475 10097332 12621665 18030950 25243330 36061900 50486660 63108325 126216650 252433300