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642143250 = 23253740771
BaseRepresentation
bin100110010001100…
…101010000010010
31122202022020221100
4212101211100102
52303342041000
6143415205230
721625061520
oct4621452022
91582266840
10642143250
112aa522801
1215b076816
13a3062b28
14613d7310
153b594a00
hex26465412

642143250 has 96 divisors (see below), whose sum is σ = 1984454784. Its totient is φ = 146772000.

The previous prime is 642143239. The next prime is 642143287. The reversal of 642143250 is 52341246.

642143250 is a `hidden beast` number, since 642 + 14 + 3 + 2 + 5 + 0 = 666.

642143250 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4636 + ... + 36135.

It is an arithmetic number, because the mean of its divisors is an integer number (20671404).

Almost surely, 2642143250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642143250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992227392).

642143250 is an abundant number, since it is smaller than the sum of its proper divisors (1342311534).

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

642143250 is a wasteful number, since it uses less digits than its factorization.

642143250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40801 (or 40788 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 642143250 is about 25340.5455742373. The cubic root of 642143250 is about 862.7347817048.

Adding to 642143250 its reverse (52341246), we get a palindrome (694484496).

The spelling of 642143250 in words is "six hundred forty-two million, one hundred forty-three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 125 126 150 175 210 225 250 315 350 375 450 525 630 750 875 1050 1125 1575 1750 2250 2625 3150 5250 7875 15750 40771 81542 122313 203855 244626 285397 366939 407710 570794 611565 733878 856191 1019275 1223130 1426985 1712382 1834695 2038550 2568573 2853970 3057825 3669390 4280955 5096375 5137146 6115650 7134925 8561910 9173475 10192750 12842865 14269850 15289125 18346950 21404775 25685730 30578250 35674625 42809550 45867375 64214325 71349250 91734750 107023875 128428650 214047750 321071625 642143250