Search a number
-
+
41695044 = 22319237951
BaseRepresentation
bin1001111100001…
…1011101000100
32220110022211220
42133003131010
541133220134
64045400340
71014254616
oct237033504
986408756
1041695044
1121599116
1211b690b0
13883b231
145774db6
1539d9149
hex27c3744

41695044 has 48 divisors (see below), whose sum is σ = 106874880. Its totient is φ = 12592800.

The previous prime is 41695039. The next prime is 41695111. The reversal of 41695044 is 44059614.

41695044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41694996 and 41695014.

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 15 ways as a sum of consecutive naturals, for example, 1269 + ... + 9219.

It is an arithmetic number, because the mean of its divisors is an integer number (2226560).

Almost surely, 241695044 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 41695044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53437440).

41695044 is an abundant number, since it is smaller than the sum of its proper divisors (65179836).

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

41695044 is a wasteful number, since it uses less digits than its factorization.

41695044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8000 (or 7998 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 41695044 is about 6457.1699683375. The cubic root of 41695044 is about 346.7593222910.

The spelling of 41695044 in words is "forty-one million, six hundred ninety-five thousand, forty-four".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 874 1311 1748 2622 5244 7951 15902 23853 31804 47706 95412 151069 182873 302138 365746 453207 548619 604276 731492 906414 1097238 1812828 2194476 3474587 6949174 10423761 13898348 20847522 41695044