Search a number
-
+
41832020 = 22531109619
BaseRepresentation
bin1001111110010…
…0111001010100
32220201021202002
42133210321110
541202111040
64052334432
71015365146
oct237447124
986637662
1041832020
112168201a
1212014418
138888699
1457acc96
153a14a15
hex27e4e54

41832020 has 48 divisors (see below), whose sum is σ = 91660800. Its totient is φ = 16018560.

The previous prime is 41832017. The next prime is 41832029. The reversal of 41832020 is 2023814.

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

It is a junction number, because it is equal to n+sod(n) for n = 41831983 and 41832001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41832029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67271 + ... + 67889.

It is an arithmetic number, because the mean of its divisors is an integer number (1909600).

Almost surely, 241832020 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 41832020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45830400).

41832020 is an abundant number, since it is smaller than the sum of its proper divisors (49828780).

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

41832020 is a wasteful number, since it uses less digits than its factorization.

41832020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 41832020 is about 6467.7677756704. The cubic root of 41832020 is about 347.1386302548.

Adding to 41832020 its reverse (2023814), we get a palindrome (43855834).

The spelling of 41832020 in words is "forty-one million, eight hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 109 124 155 218 310 436 545 619 620 1090 1238 2180 2476 3095 3379 6190 6758 12380 13516 16895 19189 33790 38378 67471 67580 76756 95945 134942 191890 269884 337355 383780 674710 1349420 2091601 4183202 8366404 10458005 20916010 41832020