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47683020 = 223571110321
BaseRepresentation
bin1011010111100…
…1010111001100
310022201112210210
42311321113030
544201324040
64422002420
71116204360
oct265712714
9108645723
1047683020
1124a08a60
1213b76410
139b56908
1464932a0
1542bd480
hex2d795cc

47683020 has 96 divisors (see below), whose sum is σ = 166473216. Its totient is φ = 9907200.

The previous prime is 47683019. The next prime is 47683021. The reversal of 47683020 is 2038674.

47683020 is digitally balanced in base 9, 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 (47683019) and next prime (47683021).

It is a Harshad number since it is a multiple of its sum of digits (30).

47683020 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (47683021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541 + ... + 9780.

It is an arithmetic number, because the mean of its divisors is an integer number (1734096).

Almost surely, 247683020 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 47683020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83236608).

47683020 is an abundant number, since it is smaller than the sum of its proper divisors (118790196).

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

47683020 is a wasteful number, since it uses less digits than its factorization.

47683020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10351 (or 10349 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 47683020 is about 6905.2892770687. The cubic root of 47683020 is about 362.6223637642.

The spelling of 47683020 in words is "forty-seven million, six hundred eighty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 10321 20642 30963 41284 51605 61926 72247 103210 113531 123852 144494 154815 206420 216741 227062 288988 309630 340593 361235 433482 454124 567655 619260 681186 722470 794717 866964 1083705 1135310 1362372 1444940 1589434 1702965 2167410 2270620 2384151 3178868 3405930 3973585 4334820 4768302 6811860 7947170 9536604 11920755 15894340 23841510 47683020