Search a number
-
+
42020550 = 232521113653
BaseRepresentation
bin1010000001001…
…0111011000110
32221001212100200
42200102323012
541224124200
64100351330
71020111615
oct240227306
987055320
1042020550
11217a0730
12120a5546
138923440
14581b87c
153a50800
hex2812ec6

42020550 has 144 divisors (see below), whose sum is σ = 132835248. Its totient is φ = 9388800.

The previous prime is 42020527. The next prime is 42020557. The reversal of 42020550 is 5502024.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42020557) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 64024 + ... + 64676.

It is an arithmetic number, because the mean of its divisors is an integer number (922467).

Almost surely, 242020550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42020550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66417624).

42020550 is an abundant number, since it is smaller than the sum of its proper divisors (90814698).

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

42020550 is a wasteful number, since it uses less digits than its factorization.

42020550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 687 counting only the distinct ones).

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

The square root of 42020550 is about 6482.3259714396. The cubic root of 42020550 is about 347.6593475842.

Adding to 42020550 its reverse (5502024), we get a palindrome (47522574).

The spelling of 42020550 in words is "forty-two million, twenty thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 25 26 30 33 39 45 50 55 65 66 75 78 90 99 110 117 130 143 150 165 195 198 225 234 275 286 325 330 390 429 450 495 550 585 650 653 715 825 858 975 990 1170 1287 1306 1430 1650 1950 1959 2145 2475 2574 2925 3265 3575 3918 4290 4950 5850 5877 6435 6530 7150 7183 8489 9795 10725 11754 12870 14366 16325 16978 19590 21450 21549 25467 29385 32175 32650 35915 42445 43098 48975 50934 58770 64350 64647 71830 76401 84890 93379 97950 107745 127335 129294 146925 152802 179575 186758 212225 215490 254670 280137 293850 323235 359150 382005 424450 466895 538725 560274 636675 646470 764010 840411 933790 1077450 1273350 1400685 1616175 1680822 1910025 2334475 2801370 3232350 3820050 4202055 4668950 7003425 8404110 14006850 21010275 42020550