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47132712 = 23331183239
BaseRepresentation
bin1011001111001…
…1000000101000
310021200120221000
42303303000220
544031221322
64402115000
71111423104
oct263630050
9107616830
1047132712
1124672560
121394ba60
1399c32a3
14638c904
1542103ac
hex2cf3028

47132712 has 128 divisors (see below), whose sum is σ = 145152000. Its totient is φ = 14051520.

The previous prime is 47132699. The next prime is 47132713. The reversal of 47132712 is 21723174.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (47132713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197089 + ... + 197327.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 247132712 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 47132712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

47132712 is an abundant number, since it is smaller than the sum of its proper divisors (98019288).

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

47132712 is a wasteful number, since it uses less digits than its factorization.

47132712 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 2352, while the sum is 27.

The square root of 47132712 is about 6865.3267948438. The cubic root of 47132712 is about 361.2219586875.

Adding to 47132712 its reverse (21723174), we get a palindrome (68855886).

The spelling of 47132712 in words is "forty-seven million, one hundred thirty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 83 88 99 108 132 166 198 216 239 249 264 297 332 396 478 498 594 664 717 747 792 913 956 996 1188 1434 1494 1826 1912 1992 2151 2241 2376 2629 2739 2868 2988 3652 4302 4482 5258 5478 5736 5976 6453 7304 7887 8217 8604 8964 10516 10956 12906 15774 16434 17208 17928 19837 21032 21912 23661 24651 25812 31548 32868 39674 47322 49302 51624 59511 63096 65736 70983 79348 94644 98604 119022 141966 158696 178533 189288 197208 218207 238044 283932 357066 436414 476088 535599 567864 654621 714132 872828 1071198 1309242 1428264 1745656 1963863 2142396 2618484 3927726 4284792 5236968 5891589 7855452 11783178 15710904 23566356 47132712