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41760072 = 2332580001
BaseRepresentation
bin1001111101001…
…1010101001000
32220120122001100
42133103111020
541142310242
64051021400
71014645324
oct237232510
986518040
1041760072
1121632a62
1211b9a860
138861a03
145790984
1539ed54c
hex27d3548

41760072 has 24 divisors (see below), whose sum is σ = 113100390. Its totient is φ = 13920000.

The previous prime is 41760071. The next prime is 41760077. The reversal of 41760072 is 27006714.

41760072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 23561316 + 18198756 = 4854^2 + 4266^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×417600722 = 3487807226890368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41760071) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 289929 + ... + 290072.

Almost surely, 241760072 is an apocalyptic number.

It is an amenable number.

41760072 is an abundant number, since it is smaller than the sum of its proper divisors (71340318).

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

41760072 is a wasteful number, since it uses less digits than its factorization.

41760072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580013 (or 580006 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 41760072 is about 6462.2033394191. The cubic root of 41760072 is about 346.9394984032.

Adding to 41760072 its reverse (27006714), we get a palindrome (68766786).

The spelling of 41760072 in words is "forty-one million, seven hundred sixty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 580001 1160002 1740003 2320004 3480006 4640008 5220009 6960012 10440018 13920024 20880036 41760072