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42551300 = 225211101383
BaseRepresentation
bin1010001001010…
…0100000000100
32222001211102002
42202110200010
541343120200
64120004432
71024452161
oct242244004
988054362
1042551300
1122023470
1212300718
138a7abac
145919068
153b07bd5
hex2894804

42551300 has 72 divisors (see below), whose sum is σ = 101993472. Its totient is φ = 15280000.

The previous prime is 42551297. The next prime is 42551303. The reversal of 42551300 is 315524.

It is an interprime number because it is at equal distance from previous prime (42551297) and next prime (42551303).

It is a super-2 number, since 2×425513002 = 3621226263380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (42551303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110909 + ... + 111291.

It is an arithmetic number, because the mean of its divisors is an integer number (1416576).

Almost surely, 242551300 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 42551300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50996736).

42551300 is an abundant number, since it is smaller than the sum of its proper divisors (59442172).

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

42551300 is a wasteful number, since it uses less digits than its factorization.

42551300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 42551300 is about 6523.1357490091. The cubic root of 42551300 is about 349.1169576506.

Adding to 42551300 its reverse (315524), we get a palindrome (42866824).

It can be divided in two parts, 4255 and 1300, that added together give a palindrome (5555).

The spelling of 42551300 in words is "forty-two million, five hundred fifty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 383 404 505 550 766 1010 1100 1111 1532 1915 2020 2222 2525 3830 4213 4444 5050 5555 7660 8426 9575 10100 11110 16852 19150 21065 22220 27775 38300 38683 42130 55550 77366 84260 105325 111100 154732 193415 210650 386830 421300 425513 773660 851026 967075 1702052 1934150 2127565 3868300 4255130 8510260 10637825 21275650 42551300