[go: up one dir, main page]

Search a number
-
+
42520050 = 23252611549
BaseRepresentation
bin1010001000110…
…0110111110010
32222000020112200
42202030313302
541341120200
64115204030
71024262106
oct242146762
988006480
1042520050
1122001a41
12122a6616
138a698c1
14590b906
153aed800
hex288cdf2

42520050 has 72 divisors (see below), whose sum is σ = 116184900. Its totient is φ = 11145600.

The previous prime is 42520039. The next prime is 42520057. The reversal of 42520050 is 5002524.

42520050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2792241 + 39727809 = 1671^2 + 6303^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42520057) by changing a digit.

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, 26676 + ... + 28224.

Almost surely, 242520050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42520050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58092450).

42520050 is an abundant number, since it is smaller than the sum of its proper divisors (73664850).

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

42520050 is a wasteful number, since it uses less digits than its factorization.

42520050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1620 counting only the distinct ones).

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

The square root of 42520050 is about 6520.7399886823. The cubic root of 42520050 is about 349.0314719992.

Adding to 42520050 its reverse (5002524), we get a palindrome (47522574).

The spelling of 42520050 in words is "forty-two million, five hundred twenty thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 61 75 90 122 150 183 225 305 366 450 549 610 915 1098 1525 1549 1830 2745 3050 3098 4575 4647 5490 7745 9150 9294 13725 13941 15490 23235 27450 27882 38725 46470 69705 77450 94489 116175 139410 188978 232350 283467 348525 472445 566934 697050 850401 944890 1417335 1700802 2362225 2834670 4252005 4724450 7086675 8504010 14173350 21260025 42520050