Search a number
-
+
42252750 = 2325389211
BaseRepresentation
bin1010000100101…
…1100111001110
32221111122212200
42201023213032
541304042000
64105342330
71022066601
oct241134716
987448780
1042252750
112193a131
12121979a6
1389a5037
14587c338
153a99500
hex284b9ce

42252750 has 96 divisors (see below), whose sum is σ = 116082720. Its totient is φ = 11088000.

The previous prime is 42252737. The next prime is 42252761. The reversal of 42252750 is 5725224.

42252750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 200145 + ... + 200355.

It is an arithmetic number, because the mean of its divisors is an integer number (1209195).

Almost surely, 242252750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42252750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58041360).

42252750 is an abundant number, since it is smaller than the sum of its proper divisors (73829970).

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

42252750 is a wasteful number, since it uses less digits than its factorization.

42252750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 42252750 is about 6500.2115350195. The cubic root of 42252750 is about 348.2985448394.

Adding to 42252750 its reverse (5725224), we get a palindrome (47977974).

The spelling of 42252750 in words is "forty-two million, two hundred fifty-two thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 89 90 125 150 178 211 225 250 267 375 422 445 450 534 633 750 801 890 1055 1125 1266 1335 1602 1899 2110 2225 2250 2670 3165 3798 4005 4450 5275 6330 6675 8010 9495 10550 11125 13350 15825 18779 18990 20025 22250 26375 31650 33375 37558 40050 47475 52750 56337 66750 79125 93895 94950 100125 112674 158250 169011 187790 200250 237375 281685 338022 469475 474750 563370 845055 938950 1408425 1690110 2347375 2816850 4225275 4694750 7042125 8450550 14084250 21126375 42252750