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422951625 = 3453371129
BaseRepresentation
bin11001001101011…
…011101011001001
31002110212011120000
4121031123223021
51331233423000
6105545153213
713324013055
oct3115335311
91073764500
10422951625
111a78218a8
12b978b809
1369819345
144025ac65
15271e9000
hex1935bac9

422951625 has 80 divisors (see below), whose sum is σ = 810535440. Its totient is φ = 219283200.

The previous prime is 422951591. The next prime is 422951629. The reversal of 422951625 is 526159224.

422951625 is a `hidden beast` number, since 4 + 2 + 29 + 5 + 1 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 143928009 + 279023616 = 11997^2 + 16704^2 .

It is not a de Polignac number, because 422951625 - 27 = 422951497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 422951625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422951629) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 374061 + ... + 375189.

It is an arithmetic number, because the mean of its divisors is an integer number (10131693).

Almost surely, 2422951625 is an apocalyptic number.

422951625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

422951625 is a deficient number, since it is larger than the sum of its proper divisors (387583815).

422951625 is a wasteful number, since it uses less digits than its factorization.

422951625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1174 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 422951625 is about 20565.7877310839. The cubic root of 422951625 is about 750.6374580428.

The spelling of 422951625 in words is "four hundred twenty-two million, nine hundred fifty-one thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 37 45 75 81 111 125 135 185 225 333 375 405 555 675 925 999 1125 1129 1665 2025 2775 2997 3375 3387 4625 4995 5645 8325 10125 10161 13875 14985 16935 24975 28225 30483 41625 41773 50805 74925 84675 91449 124875 125319 141125 152415 208865 254025 374625 375957 423375 457245 626595 762075 1044325 1127871 1270125 1879785 2286225 3132975 3383613 3810375 5221625 5639355 9398925 11431125 15664875 16918065 28196775 46994625 84590325 140983875 422951625