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406797328 = 24713672657
BaseRepresentation
bin11000001111110…
…011110000010000
31001100110110000201
4120033303300100
51313120003303
6104211024544
713036502020
oct3017636020
91040413021
10406797328
11199698943
12b429b154
13663814a2
143c053a80
1525aa781d
hex183f3c10

406797328 has 40 divisors (see below), whose sum is σ = 901763712. Its totient is φ = 174148608.

The previous prime is 406797323. The next prime is 406797331. The reversal of 406797328 is 823797604.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (406797323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151776 + ... + 154432.

Almost surely, 2406797328 is an apocalyptic number.

It is an amenable number.

406797328 is an abundant number, since it is smaller than the sum of its proper divisors (494966384).

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

406797328 is a wasteful number, since it uses less digits than its factorization.

406797328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The square root of 406797328 is about 20169.2173373188. The cubic root of 406797328 is about 740.9564744174.

The spelling of 406797328 in words is "four hundred six million, seven hundred ninety-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 1367 2657 2734 5314 5468 9569 10628 10936 18599 19138 21256 21872 37198 38276 42512 74396 76552 148792 153104 297584 3632119 7264238 14528476 25424833 29056952 50849666 58113904 101699332 203398664 406797328