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413626432 = 268972617
BaseRepresentation
bin11000101001110…
…111000001000000
31001211022101210111
4120221313001000
51321342021212
6105013241104
713151523652
oct3051670100
91054271714
10413626432
111a253272a
12b6633194
136790298b
143cd106d2
15264a5ea7
hex18a77040

413626432 has 28 divisors (see below), whose sum is σ = 830023740. Its totient is φ = 204486656.

The previous prime is 413626399. The next prime is 413626463. The reversal of 413626432 is 234626314.

It can be written as a sum of positive squares in 2 ways, for example, as 274763776 + 138862656 = 16576^2 + 11784^2 .

It is a super-4 number, since 4×4136264324 (a number of 36 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413626394 and 413626403.

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 3 ways as a sum of consecutive naturals, for example, 30613 + ... + 42004.

It is an arithmetic number, because the mean of its divisors is an integer number (29643705).

Almost surely, 2413626432 is an apocalyptic number.

It is an amenable number.

413626432 is an abundant number, since it is smaller than the sum of its proper divisors (416397308).

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

413626432 is an equidigital number, since it uses as much as digits as its factorization.

413626432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72718 (or 72708 counting only the distinct ones).

The product of its digits is 20736, while the sum is 31.

The square root of 413626432 is about 20337.8079448106. The cubic root of 413626432 is about 745.0797518335.

The spelling of 413626432 in words is "four hundred thirteen million, six hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 1424 2848 5696 72617 145234 290468 580936 1161872 2323744 4647488 6462913 12925826 25851652 51703304 103406608 206813216 413626432