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4536406432 = 252943113683
BaseRepresentation
bin1000011100110010…
…00001000110100000
3102201011001022202001
410032121001012200
533242310001212
62030050533344
7220262550505
oct41631010640
912634038661
104536406432
111a18757328
12a67297254
13573ab277c
143106a54ac
151b83d0657
hex10e6411a0

4536406432 has 48 divisors (see below), whose sum is σ = 9453961440. Its totient is φ = 2139040512.

The previous prime is 4536406411. The next prime is 4536406517. The reversal of 4536406432 is 2346046354.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4536406391 and 4536406400.

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 7 ways as a sum of consecutive naturals, for example, 16938 + ... + 96745.

It is an arithmetic number, because the mean of its divisors is an integer number (196957530).

Almost surely, 24536406432 is an apocalyptic number.

It is an amenable number.

4536406432 is an abundant number, since it is smaller than the sum of its proper divisors (4917555008).

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

4536406432 is a wasteful number, since it uses less digits than its factorization.

4536406432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113765 (or 113757 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

The square root of 4536406432 is about 67352.8502143747. The cubic root of 4536406432 is about 1655.4039450519.

The spelling of 4536406432 in words is "four billion, five hundred thirty-six million, four hundred six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 43 58 86 116 172 232 344 464 688 928 1247 1376 2494 4988 9976 19952 39904 113683 227366 454732 909464 1818928 3296807 3637856 4888369 6593614 9776738 13187228 19553476 26374456 39106952 52748912 78213904 105497824 141762701 156427808 283525402 567050804 1134101608 2268203216 4536406432