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42550020 = 22325972437
BaseRepresentation
bin1010001001010…
…0001100000100
32222001202122200
42202110030010
541343100040
64115554500
71024445352
oct242241404
988052580
1042550020
1122022507
12122bba30
138a7a436
1459187d2
153b07630
hex2894304

42550020 has 72 divisors (see below), whose sum is σ = 130452504. Its totient is φ = 11225088.

The previous prime is 42550019. The next prime is 42550051. The reversal of 42550020 is 2005524.

It can be written as a sum of positive squares in 4 ways, for example, as 12278016 + 30272004 = 3504^2 + 5502^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 42549975 and 42550002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16242 + ... + 18678.

Almost surely, 242550020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42550020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65226252).

42550020 is an abundant number, since it is smaller than the sum of its proper divisors (87902484).

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

42550020 is a wasteful number, since it uses less digits than its factorization.

42550020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2549 (or 2544 counting only the distinct ones).

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

The square root of 42550020 is about 6523.0376359485. The cubic root of 42550020 is about 349.1134569805.

Adding to 42550020 its reverse (2005524), we get a palindrome (44555544).

The spelling of 42550020 in words is "forty-two million, five hundred fifty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2437 2910 3492 4365 4874 5820 7311 8730 9748 12185 14622 17460 21933 24370 29244 36555 43866 48740 73110 87732 109665 146220 219330 236389 438660 472778 709167 945556 1181945 1418334 2127501 2363890 2836668 3545835 4255002 4727780 7091670 8510004 10637505 14183340 21275010 42550020