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400428943 = 43101137673
BaseRepresentation
bin10111110111100…
…000111110001111
31000220110220020121
4113313200332033
51310002211233
6103422325411
712631406215
oct2767407617
91026426217
10400428943
11196039212
12b2129867
1364c61905
143b276cb5
152524a92d
hex17de0f8f

400428943 has 16 divisors (see below), whose sum is σ = 417437856. Its totient is φ = 383846400.

The previous prime is 400428887. The next prime is 400428979. The reversal of 400428943 is 349824004.

It is a cyclic number.

It is not a de Polignac number, because 400428943 - 213 = 400420751 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 400428899 and 400428908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400428443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594655 + ... + 595327.

It is an arithmetic number, because the mean of its divisors is an integer number (26089866).

Almost surely, 2400428943 is an apocalyptic number.

400428943 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

400428943 is a deficient number, since it is larger than the sum of its proper divisors (17008913).

400428943 is a wasteful number, since it uses less digits than its factorization.

400428943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954.

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 400428943 is about 20010.7207016639. The cubic root of 400428943 is about 737.0695788945.

The spelling of 400428943 in words is "four hundred million, four hundred twenty-eight thousand, nine hundred forty-three".

Divisors: 1 43 101 137 673 4343 5891 13837 28939 67973 92201 594991 2922839 3964643 9312301 400428943