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47628225 = 3252211681
BaseRepresentation
bin1011010110101…
…1111111000001
310022121202122100
42311223333001
544143100400
64420501013
71115555541
oct265537701
9108552570
1047628225
1124980877
1213b4a769
139b379a8
14647b321
1542ac100
hex2d6bfc1

47628225 has 18 divisors (see below), whose sum is σ = 85307846. Its totient is φ = 25401600.

The previous prime is 47628209. The next prime is 47628241. The reversal of 47628225 is 52282674.

47628225 is a `hidden beast` number, since 4 + 7 + 628 + 2 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (47628209) and next prime (47628241).

It can be written as a sum of positive squares in 3 ways, for example, as 16257024 + 31371201 = 4032^2 + 5601^2 .

It is not a de Polignac number, because 47628225 - 24 = 47628209 is a prime.

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 47628225.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 105616 + ... + 106065.

Almost surely, 247628225 is an apocalyptic number.

47628225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47628225 is a deficient number, since it is larger than the sum of its proper divisors (37679621).

47628225 is a wasteful number, since it uses less digits than its factorization.

47628225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211697 (or 211689 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 47628225 is about 6901.3205258124. The cubic root of 47628225 is about 362.4834078811.

The spelling of 47628225 in words is "forty-seven million, six hundred twenty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 211681 635043 1058405 1905129 3175215 5292025 9525645 15876075 47628225