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42580050 = 2352319157
BaseRepresentation
bin1010001001101…
…1100001010010
32222010021211220
42202123201102
541400030200
64120345510
71024632042
oct242334122
988107756
1042580050
1122043027
1212315296
138a8acc6
145925722
153b114a0
hex289b852

42580050 has 48 divisors (see below), whose sum is σ = 109016832. Its totient is φ = 10987200.

The previous prime is 42580039. The next prime is 42580063. The reversal of 42580050 is 5008524.

It is a self number, because there is not a number n which added to its sum of digits gives 42580050.

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 23 ways as a sum of consecutive naturals, for example, 72 + ... + 9228.

It is an arithmetic number, because the mean of its divisors is an integer number (2271184).

Almost surely, 242580050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42580050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54508416).

42580050 is an abundant number, since it is smaller than the sum of its proper divisors (66436782).

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

42580050 is a wasteful number, since it uses less digits than its factorization.

42580050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9203 (or 9198 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 42580050 is about 6525.3390716498. The cubic root of 42580050 is about 349.1955674920.

Adding to 42580050 its reverse (5008524), we get a palindrome (47588574).

The spelling of 42580050 in words is "forty-two million, five hundred eighty thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 310 465 775 930 1550 2325 4650 9157 18314 27471 45785 54942 91570 137355 228925 274710 283867 457850 567734 686775 851601 1373550 1419335 1703202 2838670 4258005 7096675 8516010 14193350 21290025 42580050