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47678625 = 345317277
BaseRepresentation
bin1011010111100…
…0010010100001
310022201022210000
42311320102201
544201204000
64421530213
71116155511
oct265702241
9108638700
1047678625
1124a05725
1213b73969
139b54907
146491841
1542bc000
hex2d784a1

47678625 has 80 divisors (see below), whose sum is σ = 94455504. Its totient is φ = 23846400.

The previous prime is 47678623. The next prime is 47678647. The reversal of 47678625 is 52687674.

It can be written as a sum of positive squares in 8 ways, for example, as 16842816 + 30835809 = 4104^2 + 5553^2 .

It is not a de Polignac number, because 47678625 - 21 = 47678623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (47678621) 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, 171987 + ... + 172263.

Almost surely, 247678625 is an apocalyptic number.

47678625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47678625 is a deficient number, since it is larger than the sum of its proper divisors (46776879).

47678625 is a wasteful number, since it uses less digits than its factorization.

47678625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 302 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 47678625 is about 6904.9710354208. The cubic root of 47678625 is about 362.6112223120.

The spelling of 47678625 in words is "forty-seven million, six hundred seventy-eight thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 125 135 153 225 255 277 375 405 425 459 675 765 831 1125 1275 1377 1385 2025 2125 2295 2493 3375 3825 4155 4709 6375 6885 6925 7479 10125 11475 12465 14127 19125 20775 22437 23545 34425 34625 37395 42381 57375 62325 70635 103875 112185 117725 127143 172125 186975 211905 311625 353175 381429 560925 588625 635715 934875 1059525 1765875 1907145 2804625 3178575 5297625 9535725 15892875 47678625