Search a number
-
+
41419770 = 2357593343
BaseRepresentation
bin1001111000000…
…0001111111010
32212221100020120
42132000033322
541100413040
64035434110
71012030230
oct236001772
985840216
1041419770
1121420317
1211a55936
138772b52
145702950
1539827d0
hex27803fa

41419770 has 64 divisors (see below), whose sum is σ = 115568640. Its totient is φ = 9304128.

The previous prime is 41419747. The next prime is 41419771. The reversal of 41419770 is 7791414.

41419770 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41419771) 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 31 ways as a sum of consecutive naturals, for example, 10719 + ... + 14061.

It is an arithmetic number, because the mean of its divisors is an integer number (1805760).

Almost surely, 241419770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41419770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57784320).

41419770 is an abundant number, since it is smaller than the sum of its proper divisors (74148870).

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

41419770 is a wasteful number, since it uses less digits than its factorization.

41419770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419.

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 41419770 is about 6435.8192951636. The cubic root of 41419770 is about 345.9945258470.

The spelling of 41419770 in words is "forty-one million, four hundred nineteen thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 590 826 885 1239 1770 2065 2478 3343 4130 6195 6686 10029 12390 16715 20058 23401 33430 46802 50145 70203 100290 117005 140406 197237 234010 351015 394474 591711 702030 986185 1183422 1380659 1972370 2761318 2958555 4141977 5917110 6903295 8283954 13806590 20709885 41419770