Search a number
-
+
41542000 = 245320771
BaseRepresentation
bin1001111001111…
…0000101110000
32220011112220121
42132132011300
541113321000
64042220024
71013046463
oct236360560
986145817
1041542000
11214a4135
1211ab4614
1387b6686
1457352da
1539a8b1a
hex279e170

41542000 has 40 divisors (see below), whose sum is σ = 100453392. Its totient is φ = 16616000.

The previous prime is 41541991. The next prime is 41542003. The reversal of 41542000 is 24514.

41542000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41542003) 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 7 ways as a sum of consecutive naturals, for example, 8386 + ... + 12385.

Almost surely, 241542000 is an apocalyptic number.

41542000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41542000 is an abundant number, since it is smaller than the sum of its proper divisors (58911392).

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

41542000 is a wasteful number, since it uses less digits than its factorization.

41542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20794 (or 20778 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 41542000 is about 6445.3083712108. The cubic root of 41542000 is about 346.3345356114.

Adding to 41542000 its reverse (24514), we get a palindrome (41566514).

The spelling of 41542000 in words is "forty-one million, five hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 20771 41542 83084 103855 166168 207710 332336 415420 519275 830840 1038550 1661680 2077100 2596375 4154200 5192750 8308400 10385500 20771000 41542000