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252144321 = 31113587749
BaseRepresentation
bin11110000011101…
…10101011000001
3122120110020222120
433001312223001
51004022104241
641004154453
76151122432
oct1701665301
9576406876
10252144321
1111a368840
1270538a29
1340313730
14256b7489
1517209666
hexf076ac1

252144321 has 16 divisors (see below), whose sum is σ = 394968000. Its totient is φ = 141059520.

The previous prime is 252144313. The next prime is 252144337. The reversal of 252144321 is 123441252.

252144321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252144321 - 23 = 252144313 is a prime.

It is a super-2 number, since 2×2521443212 = 127153517225102082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252144291 and 252144300.

It is not an unprimeable number, because it can be changed into a prime (252144341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293446 + ... + 294303.

It is an arithmetic number, because the mean of its divisors is an integer number (24685500).

Almost surely, 2252144321 is an apocalyptic number.

It is an amenable number.

252144321 is a deficient number, since it is larger than the sum of its proper divisors (142823679).

252144321 is a wasteful number, since it uses less digits than its factorization.

252144321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587776.

The product of its digits is 1920, while the sum is 24.

The square root of 252144321 is about 15879.0528999686. The cubic root of 252144321 is about 631.7565165602.

Adding to 252144321 its reverse (123441252), we get a palindrome (375585573).

The spelling of 252144321 in words is "two hundred fifty-two million, one hundred forty-four thousand, three hundred twenty-one".

Divisors: 1 3 11 13 33 39 143 429 587749 1763247 6465239 7640737 19395717 22922211 84048107 252144321