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252522018 = 232710119843
BaseRepresentation
bin11110000110100…
…10111000100010
3122121011110002100
433003102320202
51004121201033
641020231230
76154254540
oct1703227042
9577143070
10252522018
1111a5a6591
127069b516
1340416618
1425774d90
1517281513
hexf0d2e22

252522018 has 48 divisors (see below), whose sum is σ = 631515456. Its totient is φ = 71431200.

The previous prime is 252522007. The next prime is 252522031. The reversal of 252522018 is 810225252.

It is a junction number, because it is equal to n+sod(n) for n = 252521982 and 252522000.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2805 + ... + 22647.

It is an arithmetic number, because the mean of its divisors is an integer number (13156572).

Almost surely, 2252522018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252522018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315757728).

252522018 is an abundant number, since it is smaller than the sum of its proper divisors (378993438).

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

252522018 is a wasteful number, since it uses less digits than its factorization.

252522018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19959 (or 19956 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 252522018 is about 15890.9413818062. The cubic root of 252522018 is about 632.0718035841.

The spelling of 252522018 in words is "two hundred fifty-two million, five hundred twenty-two thousand, eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1414 1818 2121 4242 6363 12726 19843 39686 59529 119058 138901 178587 277802 357174 416703 833406 1250109 2004143 2500218 4008286 6012429 12024858 14029001 18037287 28058002 36074574 42087003 84174006 126261009 252522018