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47685690 = 23251353769
BaseRepresentation
bin1011010111101…
…0000000111010
310022201200110200
42311322000322
544201420230
64422023030
71116215223
oct265720072
9108650420
1047685690
1124a0aa68
1213b77a76
139b57bb0
14649424a
1542be160
hex2d7a03a

47685690 has 96 divisors (see below), whose sum is σ = 136216080. Its totient is φ = 11501568.

The previous prime is 47685689. The next prime is 47685691. The reversal of 47685690 is 9658674.

47685690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47685689) and next prime (47685691).

It can be written as a sum of positive squares in 8 ways, for example, as 14265729 + 33419961 = 3777^2 + 5781^2 .

It is a super-2 number, since 2×476856902 = 4547850061552200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47685691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61626 + ... + 62394.

Almost surely, 247685690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47685690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68108040).

47685690 is an abundant number, since it is smaller than the sum of its proper divisors (88530390).

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

47685690 is a wasteful number, since it uses less digits than its factorization.

47685690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 47685690 is about 6905.4826044238. The cubic root of 47685690 is about 362.6291319571.

The spelling of 47685690 in words is "forty-seven million, six hundred eighty-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 53 65 78 90 106 117 130 159 195 234 265 318 390 477 530 585 689 769 795 954 1170 1378 1538 1590 2067 2307 2385 3445 3845 4134 4614 4770 6201 6890 6921 7690 9997 10335 11535 12402 13842 19994 20670 23070 29991 31005 34605 40757 49985 59982 62010 69210 81514 89973 99970 122271 149955 179946 203785 244542 299910 366813 407570 449865 529841 611355 733626 899730 1059682 1222710 1589523 1834065 2649205 3179046 3668130 4768569 5298410 7947615 9537138 15895230 23842845 47685690