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40020480 = 29345193
BaseRepresentation
bin1001100010101…
…0101000000000
32210022020210000
42120222220000
540221123410
63545440000
7664111533
oct230525000
983266700
1040020480
1120654a85
12114a0000
1383a2c76
14545aa1a
1537a7dc0
hex262aa00

40020480 has 200 divisors, whose sum is σ = 144083412. Its totient is φ = 10616832.

The previous prime is 40020457. The next prime is 40020481. The reversal of 40020480 is 8402004.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38340864 + 1679616 = 6192^2 + 1296^2 .

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

It is not an unprimeable number, because it can be changed into a prime (40020481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207264 + ... + 207456.

Almost surely, 240020480 is an apocalyptic number.

40020480 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 40020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72041706).

40020480 is an abundant number, since it is smaller than the sum of its proper divisors (104062932).

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

40020480 is an equidigital number, since it uses as much as digits as its factorization.

40020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 40020480 is about 6326.1741993088. The cubic root of 40020480 is about 342.0535465558.

Adding to 40020480 its reverse (8402004), we get a palindrome (48422484).

The spelling of 40020480 in words is "forty million, twenty thousand, four hundred eighty".