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47823912 = 23331943271
BaseRepresentation
bin1011011001101…
…1110000101000
310022222201002000
42312123300220
544220331122
64425011000
71120332213
oct266336050
9108881060
1047823912
1124aa48a4
1214023a60
139ba5a96
1464cc77a
1542ea0ac
hex2d9bc28

47823912 has 128 divisors (see below), whose sum is σ = 143616000. Its totient is φ = 14696640.

The previous prime is 47823899. The next prime is 47823913. The reversal of 47823912 is 21932874.

47823912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47823913) 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 31 ways as a sum of consecutive naturals, for example, 176337 + ... + 176607.

It is an arithmetic number, because the mean of its divisors is an integer number (1122000).

Almost surely, 247823912 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 47823912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71808000).

47823912 is an abundant number, since it is smaller than the sum of its proper divisors (95792088).

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

47823912 is a wasteful number, since it uses less digits than its factorization.

47823912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 47823912 is about 6915.4834971967. The cubic root of 47823912 is about 362.9791668940.

The spelling of 47823912 in words is "forty-seven million, eight hundred twenty-three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 43 54 57 72 76 86 108 114 129 152 171 172 216 228 258 271 342 344 387 456 513 516 542 684 774 813 817 1026 1032 1084 1161 1368 1548 1626 1634 2052 2168 2322 2439 2451 3096 3252 3268 4104 4644 4878 4902 5149 6504 6536 7317 7353 9288 9756 9804 10298 11653 14634 14706 15447 19512 19608 20596 22059 23306 29268 29412 30894 34959 41192 44118 46341 46612 58536 58824 61788 69918 88236 92682 93224 104877 123576 139023 139836 176472 185364 209754 221407 278046 279672 314631 370728 419508 442814 556092 629262 664221 839016 885628 1112184 1258524 1328442 1771256 1992663 2517048 2656884 3985326 5313768 5977989 7970652 11955978 15941304 23911956 47823912