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41681152 = 28237079
BaseRepresentation
bin1001111100000…
…0000100000000
32220102121210101
42133000010000
541132244102
64045212144
71014166252
oct237000400
986377711
1041681152
1121589737
1211b61054
138834b06
14576dcd2
1539d4e87
hex27c0100

41681152 has 36 divisors (see below), whose sum is σ = 86829120. Its totient is φ = 19931648.

The previous prime is 41681141. The next prime is 41681173. The reversal of 41681152 is 25118614.

It is a self number, because there is not a number n which added to its sum of digits gives 41681152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2349 + ... + 9427.

It is an arithmetic number, because the mean of its divisors is an integer number (2411920).

Almost surely, 241681152 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 41681152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43414560).

41681152 is an abundant number, since it is smaller than the sum of its proper divisors (45147968).

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

41681152 is an equidigital number, since it uses as much as digits as its factorization.

41681152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7118 (or 7104 counting only the distinct ones).

The product of its digits is 1920, while the sum is 28.

The square root of 41681152 is about 6456.0941752735. The cubic root of 41681152 is about 346.7208067974.

Adding to 41681152 its reverse (25118614), we get a palindrome (66799766).

The spelling of 41681152 in words is "forty-one million, six hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 1472 2944 5888 7079 14158 28316 56632 113264 162817 226528 325634 453056 651268 906112 1302536 1812224 2605072 5210144 10420288 20840576 41681152