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252004050 = 232522272467
BaseRepresentation
bin11110000010101…
…00011011010010
3122120012010120100
433001110123102
51004003112200
641001153230
76146666454
oct1701243322
9576163510
10252004050
1111a282411
127048b816
134029492c
142567c2d4
15171ccd00
hexf0546d2

252004050 has 72 divisors (see below), whose sum is σ = 680309136. Its totient is φ = 66877920.

The previous prime is 252004043. The next prime is 252004061. The reversal of 252004050 is 50400252.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 100917 + ... + 103383.

It is an arithmetic number, because the mean of its divisors is an integer number (9448738).

Almost surely, 2252004050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252004050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340154568).

252004050 is an abundant number, since it is smaller than the sum of its proper divisors (428305086).

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

252004050 is a wasteful number, since it uses less digits than its factorization.

252004050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 252004050 is about 15874.6354288847. The cubic root of 252004050 is about 631.6393435116.

The spelling of 252004050 in words is "two hundred fifty-two million, four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 227 450 454 681 1135 1362 2043 2270 2467 3405 4086 4934 5675 6810 7401 10215 11350 12335 14802 17025 20430 22203 24670 34050 37005 44406 51075 61675 74010 102150 111015 123350 185025 222030 370050 555075 560009 1110150 1120018 1680027 2800045 3360054 5040081 5600090 8400135 10080162 14000225 16800270 25200405 28000450 42000675 50400810 84001350 126002025 252004050