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47931072 = 2637191877
BaseRepresentation
bin1011011011010…
…1111011000000
310100012011001220
42312311323000
544232243242
64431155040
71121256510
oct266657300
9110164056
1047931072
1125068362
1214075a80
139c127a7
146519840
15431bbec
hex2db5ec0

47931072 has 112 divisors (see below), whose sum is σ = 152643840. Its totient is φ = 12966912.

The previous prime is 47931071. The next prime is 47931077. The reversal of 47931072 is 27013974.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (47931071) 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, 24598 + ... + 26474.

Almost surely, 247931072 is an apocalyptic number.

47931072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47931072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76321920).

47931072 is an abundant number, since it is smaller than the sum of its proper divisors (104712768).

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

47931072 is a wasteful number, since it uses less digits than its factorization.

47931072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 47931072 is about 6923.2269932453. The cubic root of 47931072 is about 363.2500762201.

The spelling of 47931072 in words is "forty-seven million, nine hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 1877 2128 3192 3648 3754 4256 5631 6384 7508 8512 11262 12768 13139 15016 22524 25536 26278 30032 35663 39417 45048 52556 60064 71326 78834 90096 105112 106989 120128 142652 157668 180192 210224 213978 249641 285304 315336 360384 420448 427956 499282 570608 630672 748923 840896 855912 998564 1141216 1261344 1497846 1711824 1997128 2282432 2522688 2995692 3423648 3994256 5991384 6847296 7988512 11982768 15977024 23965536 47931072