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252449920 = 275394453
BaseRepresentation
bin11110000110000…
…01010010000000
3122121000210012001
433003001102000
51004111344140
641014513344
76153534412
oct1703012200
9577023161
10252449920
1111a5573a8
1270665854
13403bc868
14257569b2
1517269e9a
hexf0c1480

252449920 has 32 divisors (see below), whose sum is σ = 603514620. Its totient is φ = 100979712.

The previous prime is 252449893. The next prime is 252449929. The reversal of 252449920 is 29944252.

It can be written as a sum of positive squares in 2 ways, for example, as 244109376 + 8340544 = 15624^2 + 2888^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 252449920.

It is not an unprimeable number, because it can be changed into a prime (252449929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 196587 + ... + 197866.

Almost surely, 2252449920 is an apocalyptic number.

252449920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252449920 is an abundant number, since it is smaller than the sum of its proper divisors (351064700).

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

252449920 is an equidigital number, since it uses as much as digits as its factorization.

252449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394472 (or 394460 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 252449920 is about 15888.6726947219. The cubic root of 252449920 is about 632.0116432187.

The spelling of 252449920 in words is "two hundred fifty-two million, four hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 394453 788906 1577812 1972265 3155624 3944530 6311248 7889060 12622496 15778120 25244992 31556240 50489984 63112480 126224960 252449920