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252984348 = 22327739091
BaseRepresentation
bin11110001010000…
…11110000011100
3122122000221021200
433011003300130
51004230444343
641034155500
76161221461
oct1705036034
9578027250
10252984348
1111a891981
1270882b90
1340548ba6
1425855668
15173234d3
hexf143c1c

252984348 has 36 divisors (see below), whose sum is σ = 640385928. Its totient is φ = 84209760.

The previous prime is 252984341. The next prime is 252984349. The reversal of 252984348 is 843489252.

252984348 is a `hidden beast` number, since 2 + 529 + 84 + 3 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252984341) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 23283 + ... + 32373.

It is an arithmetic number, because the mean of its divisors is an integer number (17788498).

Almost surely, 2252984348 is an apocalyptic number.

It is an amenable number.

252984348 is an abundant number, since it is smaller than the sum of its proper divisors (387401580).

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

252984348 is a wasteful number, since it uses less digits than its factorization.

252984348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9874 (or 9869 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 252984348 is about 15905.4816965724. The cubic root of 252984348 is about 632.4573113508.

It can be divided in two parts, 25298 and 4348, that added together give a triangular number (29646 = T243).

The spelling of 252984348 in words is "two hundred fifty-two million, nine hundred eighty-four thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 773 1546 2319 3092 4638 6957 9091 9276 13914 18182 27273 27828 36364 54546 81819 109092 163638 327276 7027343 14054686 21082029 28109372 42164058 63246087 84328116 126492174 252984348