Search a number
-
+
41454980 = 225736043
BaseRepresentation
bin1001111000100…
…0110110000100
32220000010112122
42132020312010
541103024410
64040305112
71012235000
oct236106604
986003478
1041454980
1121444816
1211a72198
138785b98
145711700
15398ce55
hex2788d84

41454980 has 48 divisors (see below), whose sum is σ = 101539200. Its totient is φ = 14210784.

The previous prime is 41454971. The next prime is 41454997. The reversal of 41454980 is 8945414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 41454980.

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 15 ways as a sum of consecutive naturals, for example, 3839 + ... + 9881.

It is an arithmetic number, because the mean of its divisors is an integer number (2115400).

Almost surely, 241454980 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 41454980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50769600).

41454980 is an abundant number, since it is smaller than the sum of its proper divisors (60084220).

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

41454980 is a wasteful number, since it uses less digits than its factorization.

41454980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6073 (or 6057 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 41454980 is about 6438.5541855295. The cubic root of 41454980 is about 346.0925387594.

The spelling of 41454980 in words is "forty-one million, four hundred fifty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 6043 6860 12086 24172 30215 42301 60430 84602 120860 169204 211505 296107 423010 592214 846020 1184428 1480535 2072749 2961070 4145498 5922140 8290996 10363745 20727490 41454980