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252253242 = 232171276491
BaseRepresentation
bin11110000100100…
…01010000111010
3122120122210101200
433002101100322
51004034100432
641010355030
76152055123
oct1702212072
9576583350
10252253242
1111a43265a
127058ba76
1340351197
142570504a
151722ba7c
hexf09143a

252253242 has 48 divisors (see below), whose sum is σ = 583345152. Its totient is φ = 78503040.

The previous prime is 252253237. The next prime is 252253289. The reversal of 252253242 is 242352252.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35617 + ... + 42107.

It is an arithmetic number, because the mean of its divisors is an integer number (12153024).

Almost surely, 2252253242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252253242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291672576).

252253242 is an abundant number, since it is smaller than the sum of its proper divisors (331091910).

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

252253242 is a wasteful number, since it uses less digits than its factorization.

252253242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6643 (or 6640 counting only the distinct ones).

The product of its digits is 9600, while the sum is 27.

The square root of 252253242 is about 15882.4822367286. The cubic root of 252253242 is about 631.8474719375.

The spelling of 252253242 in words is "two hundred fifty-two million, two hundred fifty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 127 153 254 306 381 762 1143 2159 2286 4318 6477 6491 12954 12982 19431 19473 38862 38946 58419 110347 116838 220694 331041 662082 824357 993123 1648714 1986246 2473071 4946142 7419213 14014069 14838426 28028138 42042207 84084414 126126621 252253242