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413632064 = 266463001
BaseRepresentation
bin11000101001111…
…000011001000000
31001211022200112002
4120221320121000
51321342211224
6105013323132
713151546246
oct3051703100
91054280462
10413632064
111a253698a
12b66364a8
1367905401
143cd12796
15264a79ae
hex18a78640

413632064 has 14 divisors (see below), whose sum is σ = 820801254. Its totient is φ = 206816000.

The previous prime is 413632031. The next prime is 413632097. The reversal of 413632064 is 460236314.

It is an interprime number because it is at equal distance from previous prime (413632031) and next prime (413632097).

It can be written as a sum of positive squares in only one way, i.e., 370177600 + 43454464 = 19240^2 + 6592^2 .

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 as a sum of consecutive naturals, namely, 3231437 + ... + 3231564.

It is an arithmetic number, because the mean of its divisors is an integer number (58628661).

Almost surely, 2413632064 is an apocalyptic number.

It is an amenable number.

413632064 is a deficient number, since it is larger than the sum of its proper divisors (407169190).

413632064 is an equidigital number, since it uses as much as digits as its factorization.

413632064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6463013 (or 6463003 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 413632064 is about 20337.9464056723. The cubic root of 413632064 is about 745.0831335243.

Adding to 413632064 its reverse (460236314), we get a palindrome (873868378).

The spelling of 413632064 in words is "four hundred thirteen million, six hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 6463001 12926002 25852004 51704008 103408016 206816032 413632064