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400206425 = 5221417477
BaseRepresentation
bin10111110110101…
…010101001011001
31000220001121000012
4113312222221121
51304423101200
6103413451305
712626461403
oct2766525131
91026047005
10400206425
111959a7013
12b2040b35
1364bb4548
143b219b73
1525204a35
hex17daaa59

400206425 has 12 divisors (see below), whose sum is σ = 496554156. Its totient is φ = 319972800.

The previous prime is 400206419. The next prime is 400206439. The reversal of 400206425 is 524602004.

It can be written as a sum of positive squares in 6 ways, for example, as 69839449 + 330366976 = 8357^2 + 18176^2 .

It is not a de Polignac number, because 400206425 - 26 = 400206361 is a prime.

It is a super-2 number, since 2×4002064252 = 320330365222561250, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 400206425.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 49787 + ... + 57263.

It is an arithmetic number, because the mean of its divisors is an integer number (41379513).

Almost surely, 2400206425 is an apocalyptic number.

It is an amenable number.

400206425 is a deficient number, since it is larger than the sum of its proper divisors (96347731).

400206425 is a wasteful number, since it uses less digits than its factorization.

400206425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9628 (or 9623 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 400206425 is about 20005.1599593705. The cubic root of 400206425 is about 736.9330239651.

Adding to 400206425 its reverse (524602004), we get a palindrome (924808429).

The spelling of 400206425 in words is "four hundred million, two hundred six thousand, four hundred twenty-five".

Divisors: 1 5 25 2141 7477 10705 37385 53525 186925 16008257 80041285 400206425