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252449000 = 2353252449
BaseRepresentation
bin11110000110000…
…01000011101000
3122121000201220222
433003001003220
51004111332000
641014505212
76153531626
oct1703010350
9577021828
10252449000
1111a556741
1270665208
13403bc30b
1425756516
1517269a85
hexf0c10e8

252449000 has 32 divisors (see below), whose sum is σ = 590733000. Its totient is φ = 100979200.

The previous prime is 252448981. The next prime is 252449033. The reversal of 252449000 is 944252.

It can be written as a sum of positive squares in 4 ways, for example, as 38763076 + 213685924 = 6226^2 + 14618^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125225 + ... + 127224.

Almost surely, 2252449000 is an apocalyptic number.

252449000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252449000 is an abundant number, since it is smaller than the sum of its proper divisors (338284000).

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

252449000 is a wasteful number, since it uses less digits than its factorization.

252449000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252470 (or 252456 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 252449000 is about 15888.6437432526. The cubic root of 252449000 is about 632.0108754738.

The spelling of 252449000 in words is "two hundred fifty-two million, four hundred forty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 252449 504898 1009796 1262245 2019592 2524490 5048980 6311225 10097960 12622450 25244900 31556125 50489800 63112250 126224500 252449000