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401872729 is a prime number
BaseRepresentation
bin10111111101000…
…001011101011001
31001000012020202011
4113331001131121
51310334411404
6103513305521
712646601416
oct2775013531
91030166664
10401872729
11196934a25
12b27052a1
1365348b1b
143b53110d
1525433604
hex17f41759

401872729 has 2 divisors, whose sum is σ = 401872730. Its totient is φ = 401872728.

The previous prime is 401872703. The next prime is 401872733. The reversal of 401872729 is 927278104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 340328704 + 61544025 = 18448^2 + 7845^2 .

It is a cyclic number.

It is not a de Polignac number, because 401872729 - 211 = 401870681 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 401872691 and 401872700.

It is not a weakly prime, because it can be changed into another prime (401872789) 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, 200936364 + 200936365.

It is an arithmetic number, because the mean of its divisors is an integer number (200936365).

Almost surely, 2401872729 is an apocalyptic number.

It is an amenable number.

401872729 is a deficient number, since it is larger than the sum of its proper divisors (1).

401872729 is an equidigital number, since it uses as much as digits as its factorization.

401872729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 401872729 is about 20046.7635542498. The cubic root of 401872729 is about 737.9543753298.

The spelling of 401872729 in words is "four hundred one million, eight hundred seventy-two thousand, seven hundred twenty-nine".