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400133857 is a prime number
BaseRepresentation
bin10111110110011…
…000111011100001
31000212220220110111
4113312120323201
51304413240412
6103412131321
712626040004
oct2766307341
91025826414
10400133857
11195957542
12b2006b41
1364b8a4c6
143b1db53b
15251dd2a7
hex17d98ee1

400133857 has 2 divisors, whose sum is σ = 400133858. Its totient is φ = 400133856.

The previous prime is 400133813. The next prime is 400133891. The reversal of 400133857 is 758331004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 355096336 + 45037521 = 18844^2 + 6711^2 .

It is a cyclic number.

It is not a de Polignac number, because 400133857 - 215 = 400101089 is a prime.

It is not a weakly prime, because it can be changed into another prime (400133897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200066928 + 200066929.

It is an arithmetic number, because the mean of its divisors is an integer number (200066929).

Almost surely, 2400133857 is an apocalyptic number.

It is an amenable number.

400133857 is a deficient number, since it is larger than the sum of its proper divisors (1).

400133857 is an equidigital number, since it uses as much as digits as its factorization.

400133857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 400133857 is about 20003.3461450828. The cubic root of 400133857 is about 736.8884794625. Note that the first 3 decimals are identical.

The spelling of 400133857 in words is "four hundred million, one hundred thirty-three thousand, eight hundred fifty-seven".