Search a number
-
+
42505020 = 2233578713
BaseRepresentation
bin1010001000100…
…1001100111100
32221222110221000
42202021030330
541340130040
64115010300
71024200225
oct242111474
987873830
1042505020
1121aa1718
1212299990
138a62acc
14590624c
153ae9130
hex288933c

42505020 has 48 divisors (see below), whose sum is σ = 132239520. Its totient is φ = 11334528.

The previous prime is 42505013. The next prime is 42505031. The reversal of 42505020 is 2050524.

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 = 42504984 and 42505002.

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 15 ways as a sum of consecutive naturals, for example, 38817 + ... + 39896.

It is an arithmetic number, because the mean of its divisors is an integer number (2754990).

Almost surely, 242505020 is an apocalyptic number.

It is an amenable number.

42505020 is an abundant number, since it is smaller than the sum of its proper divisors (89734500).

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

42505020 is a wasteful number, since it uses less digits than its factorization.

42505020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78731 (or 78723 counting only the distinct ones).

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

The square root of 42505020 is about 6519.5874102584. The cubic root of 42505020 is about 348.9903419029.

Adding to 42505020 its reverse (2050524), we get a palindrome (44555544).

The spelling of 42505020 in words is "forty-two million, five hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 78713 157426 236139 314852 393565 472278 708417 787130 944556 1180695 1416834 1574260 2125251 2361390 2833668 3542085 4250502 4722780 7084170 8501004 10626255 14168340 21252510 42505020