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BaseRepresentation
bin1001111000100…
…1010000000000
32220000012211010
42132021100000
541103103030
64040320520
71012242561
oct236112000
986005733
1041456640
1121445a95
1211a73140
138786874
145712168
15398d6b0
hex2789400

41456640 has 88 divisors (see below), whose sum is σ = 132645600. Its totient is φ = 11051008.

The previous prime is 41456633. The next prime is 41456669. The reversal of 41456640 is 4665414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41456598 and 41456607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14011 + ... + 16709.

Almost surely, 241456640 is an apocalyptic number.

41456640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66322800).

41456640 is an abundant number, since it is smaller than the sum of its proper divisors (91188960).

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

41456640 is a wasteful number, since it uses less digits than its factorization.

41456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 41456640 is about 6438.6830951678. The cubic root of 41456640 is about 346.0971582764.

The spelling of 41456640 in words is "forty-one million, four hundred fifty-six thousand, six hundred forty".