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252612240 = 24351052551
BaseRepresentation
bin11110000111010…
…00111010010000
3122121100000211220
433003220322100
51004132042430
641022205040
76155111556
oct1703507220
9577300756
10252612240
1111a658351
1270723780
13404486ca
1425799bd6
151729d110
hexf0e8e90

252612240 has 40 divisors (see below), whose sum is σ = 783098688. Its totient is φ = 67363200.

The previous prime is 252612233. The next prime is 252612253. The reversal of 252612240 is 42216252.

It is a happy number.

252612240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 252612240.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 526036 + ... + 526515.

Almost surely, 2252612240 is an apocalyptic number.

252612240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252612240 is an abundant number, since it is smaller than the sum of its proper divisors (530486448).

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

252612240 is a wasteful number, since it uses less digits than its factorization.

252612240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052567 (or 1052561 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 252612240 is about 15893.7799154260. The cubic root of 252612240 is about 632.1470709377.

Adding to 252612240 its reverse (42216252), we get a palindrome (294828492).

The spelling of 252612240 in words is "two hundred fifty-two million, six hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1052551 2105102 3157653 4210204 5262755 6315306 8420408 10525510 12630612 15788265 16840816 21051020 25261224 31576530 42102040 50522448 63153060 84204080 126306120 252612240