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47683296 = 2533229241
BaseRepresentation
bin1011010111100…
…1011011100000
310022201120012000
42311321123200
544201331141
64422004000
71116205233
oct265713340
9108646160
1047683296
1124a09191
1213b76600
139b56a8b
14649341a
1542bd5b6
hex2d796e0

47683296 has 96 divisors (see below), whose sum is σ = 140263200. Its totient is φ = 15759360.

The previous prime is 47683291. The next prime is 47683309. The reversal of 47683296 is 69238674.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47683291) 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, 197736 + ... + 197976.

It is an arithmetic number, because the mean of its divisors is an integer number (1461075).

Almost surely, 247683296 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 47683296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70131600).

47683296 is an abundant number, since it is smaller than the sum of its proper divisors (92579904).

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

47683296 is a wasteful number, since it uses less digits than its factorization.

47683296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 475 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 47683296 is about 6905.3092617203. The cubic root of 47683296 is about 362.6230634093.

The spelling of 47683296 in words is "forty-seven million, six hundred eighty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 229 241 288 432 458 482 687 723 864 916 964 1374 1446 1832 1928 2061 2169 2748 2892 3664 3856 4122 4338 5496 5784 6183 6507 7328 7712 8244 8676 10992 11568 12366 13014 16488 17352 21984 23136 24732 26028 32976 34704 49464 52056 55189 65952 69408 98928 104112 110378 165567 197856 208224 220756 331134 441512 496701 662268 883024 993402 1324536 1490103 1766048 1986804 2649072 2980206 3973608 5298144 5960412 7947216 11920824 15894432 23841648 47683296