Search a number
-
+
41791356 = 2233438999
BaseRepresentation
bin1001111101101…
…0111101111100
32220122012222000
42133122331330
541144310411
64051422300
71015135455
oct237327574
986565860
1041791356
1121654512
1211bb4990
138873019
14579c12c
153a07956
hex27daf7c

41791356 has 48 divisors (see below), whose sum is σ = 110880000. Its totient is φ = 13604976.

The previous prime is 41791339. The next prime is 41791357. The reversal of 41791356 is 65319714.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41791356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41791357) 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, 145 + ... + 9143.

It is an arithmetic number, because the mean of its divisors is an integer number (2310000).

Almost surely, 241791356 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 41791356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55440000).

41791356 is an abundant number, since it is smaller than the sum of its proper divisors (69088644).

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

41791356 is a wasteful number, since it uses less digits than its factorization.

41791356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9055 (or 9047 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 41791356 is about 6464.6234229072. The cubic root of 41791356 is about 347.0261118084.

The spelling of 41791356 in words is "forty-one million, seven hundred ninety-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4644 8999 17998 26997 35996 53994 80991 107988 161982 242973 323964 386957 485946 773914 971892 1160871 1547828 2321742 3482613 4643484 6965226 10447839 13930452 20895678 41791356