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400008973 = 71321791889
BaseRepresentation
bin10111110101111…
…010011100001101
31000212200120011011
4113311322130031
51304400241343
6103405325221
712625006630
oct2765723415
91025616134
10400008973
11195881731
12b1b66811
1364b45700
143b1a7c17
15251b629d
hex17d7a70d

400008973 has 24 divisors (see below), whose sum is σ = 498052800. Its totient is φ = 314555904.

The previous prime is 400008971. The next prime is 400008989. The reversal of 400008973 is 379800004.

It is a happy number.

It is not a de Polignac number, because 400008973 - 21 = 400008971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400008971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210813 + ... + 212701.

It is an arithmetic number, because the mean of its divisors is an integer number (20752200).

Almost surely, 2400008973 is an apocalyptic number.

It is an amenable number.

400008973 is a deficient number, since it is larger than the sum of its proper divisors (98043827).

400008973 is a wasteful number, since it uses less digits than its factorization.

400008973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 400008973 is about 20000.2243237420. The cubic root of 400008973 is about 736.8118091560.

Adding to 400008973 its reverse (379800004), we get a palindrome (779808977).

The spelling of 400008973 in words is "four hundred million, eight thousand, nine hundred seventy-three".

Divisors: 1 7 13 91 169 179 1183 1253 1889 2327 13223 16289 24557 30251 171899 211757 319241 338131 2234687 2366917 4395703 30769921 57144139 400008973