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47681688 = 23341471031
BaseRepresentation
bin1011010111100…
…1000010011000
310022201110222110
42311321002120
544201303223
64421552320
71116200445
oct265710230
9108643873
1047681688
1124a07a5a
1213b756a0
139b56122
1464929cc
1542bcd93
hex2d79098

47681688 has 64 divisors (see below), whose sum is σ = 124830720. Its totient is φ = 15161600.

The previous prime is 47681681. The next prime is 47681701. The reversal of 47681688 is 88618674.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47681681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45733 + ... + 46763.

It is an arithmetic number, because the mean of its divisors is an integer number (1950480).

Almost surely, 247681688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47681688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62415360).

47681688 is an abundant number, since it is smaller than the sum of its proper divisors (77149032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47681688 is a wasteful number, since it uses less digits than its factorization.

47681688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1124 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 47681688 is about 6905.1928285892. The cubic root of 47681688 is about 362.6189871779.

The spelling of 47681688 in words is "forty-seven million, six hundred eighty-one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 47 82 94 123 141 164 188 246 282 328 376 492 564 984 1031 1128 1927 2062 3093 3854 4124 5781 6186 7708 8248 11562 12372 15416 23124 24744 42271 46248 48457 84542 96914 126813 145371 169084 193828 253626 290742 338168 387656 507252 581484 1014504 1162968 1986737 3973474 5960211 7946948 11920422 15893896 23840844 47681688