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252444240 = 24325350617
BaseRepresentation
bin11110000101111…
…11111001010000
3122121000111101200
433002333321100
51004111203430
641014431200
76153512016
oct1702777120
9577014350
10252444240
1111a553104
1270662500
13403ba0b9
14257548b6
1517268460
hexf0bfe50

252444240 has 60 divisors (see below), whose sum is σ = 847794324. Its totient is φ = 67318272.

The previous prime is 252444233. The next prime is 252444259. The reversal of 252444240 is 42444252.

It can be written as a sum of positive squares in 2 ways, for example, as 153958464 + 98485776 = 12408^2 + 9924^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174589 + ... + 176028.

Almost surely, 2252444240 is an apocalyptic number.

252444240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252444240 is an abundant number, since it is smaller than the sum of its proper divisors (595350084).

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

252444240 is a wasteful number, since it uses less digits than its factorization.

252444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350636 (or 350627 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 252444240 is about 15888.4939500256. The cubic root of 252444240 is about 632.0069031986.

Adding to 252444240 its reverse (42444252), we get a palindrome (294888492).

It can be divided in two parts, 2524 and 44240, that added together give a palindrome (46764).

The spelling of 252444240 in words is "two hundred fifty-two million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 350617 701234 1051851 1402468 1753085 2103702 2804936 3155553 3506170 4207404 5259255 5609872 6311106 7012340 8414808 10518510 12622212 14024680 15777765 16829616 21037020 25244424 28049360 31555530 42074040 50488848 63111060 84148080 126222120 252444240