Search a number
-
+
41358816 = 253347869
BaseRepresentation
bin1001110111000…
…1010111100000
32212211020122000
42131301113200
541041440231
64034244000
71011354432
oct235612740
985736560
1041358816
1121389544
1211a26600
138751195
1456c8652
15396e6e6
hex27715e0

41358816 has 48 divisors (see below), whose sum is σ = 120632400. Its totient is φ = 13785984.

The previous prime is 41358809. The next prime is 41358833. The reversal of 41358816 is 61885314.

41358816 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 23071 + ... + 24798.

It is an arithmetic number, because the mean of its divisors is an integer number (2513175).

Almost surely, 241358816 is an apocalyptic number.

It is an amenable number.

41358816 is an abundant number, since it is smaller than the sum of its proper divisors (79273584).

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

41358816 is a wasteful number, since it uses less digits than its factorization.

41358816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47888 (or 47874 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 41358816 is about 6431.0820240454. The cubic root of 41358816 is about 345.8247188190.

The spelling of 41358816 in words is "forty-one million, three hundred fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 47869 95738 143607 191476 287214 382952 430821 574428 765904 861642 1148856 1292463 1531808 1723284 2297712 2584926 3446568 4595424 5169852 6893136 10339704 13786272 20679408 41358816