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40510080 = 2732513541
BaseRepresentation
bin1001101010001…
…0001010000000
32211020010101100
42122202022000
540332310310
64004134400
71001221122
oct232421200
984203340
1040510080
1120959906
1211697400
138514a80
145547212
153852ec0
hex26a2280

40510080 has 192 divisors, whose sum is σ = 150925320. Its totient is φ = 9953280.

The previous prime is 40510069. The next prime is 40510123. The reversal of 40510080 is 8001504.

It can be written as a sum of positive squares in 4 ways, for example, as 23270976 + 17239104 = 4824^2 + 4152^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74610 + ... + 75150.

Almost surely, 240510080 is an apocalyptic number.

40510080 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 40510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75462660).

40510080 is an abundant number, since it is smaller than the sum of its proper divisors (110415240).

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

40510080 is a wasteful number, since it uses less digits than its factorization.

40510080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 40510080 is about 6364.7529410025. The cubic root of 40510080 is about 343.4427610682.

Adding to 40510080 its reverse (8001504), we get a palindrome (48511584).

The spelling of 40510080 in words is "forty million, five hundred ten thousand, eighty".