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41640480 = 25375717
BaseRepresentation
bin1001111011011…
…0001000100000
32220100120000000
42132312020200
541124443410
64044300000
71013636550
oct236661040
986316000
1041640480
1121561122
1211b41600
13881c44b
14575d160
1539c7dc0
hex27b6220

41640480 has 384 divisors, whose sum is σ = 178536960. Its totient is φ = 8957952.

The previous prime is 41640437. The next prime is 41640499. The reversal of 41640480 is 8404614.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2449432 + ... + 2449448.

It is an arithmetic number, because the mean of its divisors is an integer number (464940).

Almost surely, 241640480 is an apocalyptic number.

41640480 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 41640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89268480).

41640480 is an abundant number, since it is smaller than the sum of its proper divisors (136896480).

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

41640480 is an equidigital number, since it uses as much as digits as its factorization.

41640480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 41640480 is about 6452.9435143971. The cubic root of 41640480 is about 346.6079946728.

The spelling of 41640480 in words is "forty-one million, six hundred forty thousand, four hundred eighty".