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252056240 = 2454397177
BaseRepresentation
bin11110000011000…
…01001010110000
3122120021210011022
433001201022300
51004011244430
641002235012
76150304562
oct1701411260
9576253138
10252056240
1111a308647
12704b5a68
13402b2607
1425693332
15171dd4e5
hexf0612b0

252056240 has 40 divisors (see below), whose sum is σ = 587447520. Its totient is φ = 100578816.

The previous prime is 252056237. The next prime is 252056243. The reversal of 252056240 is 42650252.

It is an interprime number because it is at equal distance from previous prime (252056237) and next prime (252056243).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (252056243) by changing a digit.

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, 31532 + ... + 38708.

It is an arithmetic number, because the mean of its divisors is an integer number (14686188).

Almost surely, 2252056240 is an apocalyptic number.

252056240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252056240 is an abundant number, since it is smaller than the sum of its proper divisors (335391280).

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

252056240 is a wasteful number, since it uses less digits than its factorization.

252056240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7629 (or 7623 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 252056240 is about 15876.2791610629. The cubic root of 252056240 is about 631.6829446388.

The spelling of 252056240 in words is "two hundred fifty-two million, fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 439 878 1756 2195 3512 4390 7024 7177 8780 14354 17560 28708 35120 35885 57416 71770 114832 143540 287080 574160 3150703 6301406 12602812 15753515 25205624 31507030 50411248 63014060 126028120 252056240