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252613344 = 2534755987
BaseRepresentation
bin11110000111010…
…01001011100000
3122121100002100210
433003221023200
51004132111334
641022214120
76155115024
oct1703511340
9577302323
10252613344
1111a659165
1270724340
1340449069
142579a384
151729d5e9
hexf0e92e0

252613344 has 48 divisors (see below), whose sum is σ = 677230848. Its totient is φ = 82411392.

The previous prime is 252613343. The next prime is 252613349. The reversal of 252613344 is 443316252.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252613343) 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 7 ways as a sum of consecutive naturals, for example, 23482 + ... + 32505.

It is an arithmetic number, because the mean of its divisors is an integer number (14108976).

Almost surely, 2252613344 is an apocalyptic number.

252613344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252613344 is an abundant number, since it is smaller than the sum of its proper divisors (424617504).

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

252613344 is a wasteful number, since it uses less digits than its factorization.

252613344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56047 (or 56039 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 252613344 is about 15893.8146459558. The cubic root of 252613344 is about 632.1479918344.

Adding to 252613344 its reverse (443316252), we get a palindrome (695929596).

The spelling of 252613344 in words is "two hundred fifty-two million, six hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 55987 111974 167961 223948 335922 447896 671844 895792 1343688 1791584 2631389 2687376 5262778 5374752 7894167 10525556 15788334 21051112 31576668 42102224 63153336 84204448 126306672 252613344