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252468018 = 232117317467
BaseRepresentation
bin11110000110001…
…01101100110010
3122121001201000100
433003011230302
51004112434033
641015133230
76153641235
oct1703055462
9577051010
10252468018
1111a569a60
1270674216
13403c7b7a
142575d41c
1517270513
hexf0c5b32

252468018 has 48 divisors (see below), whose sum is σ = 604951776. Its totient is φ = 75453120.

The previous prime is 252468017. The next prime is 252468019. The reversal of 252468018 is 810864252.

252468018 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252468017) and next prime (252468019).

It is a super-2 number, since 2×2524680182 = 127480200225696648, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (252468017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5721 + ... + 23187.

It is an arithmetic number, because the mean of its divisors is an integer number (12603162).

Almost surely, 2252468018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252468018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302475888).

252468018 is an abundant number, since it is smaller than the sum of its proper divisors (352483758).

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

252468018 is a wasteful number, since it uses less digits than its factorization.

252468018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17559 (or 17556 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 252468018 is about 15889.2422097468. The cubic root of 252468018 is about 632.0267457169.

The spelling of 252468018 in words is "two hundred fifty-two million, four hundred sixty-eight thousand, eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 73 99 146 198 219 438 657 803 1314 1606 2409 4818 7227 14454 17467 34934 52401 104802 157203 192137 314406 384274 576411 1152822 1275091 1729233 2550182 3458466 3825273 7650546 11475819 14026001 22951638 28052002 42078003 84156006 126234009 252468018