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47933640 = 2333544383
BaseRepresentation
bin1011011011011…
…0100011001000
310100012021121000
42312312203020
544232334030
64431215000
71121300136
oct266664310
9110167530
1047933640
112506a287
1214077460
139c13a01
14651a756
15431c860
hex2db68c8

47933640 has 64 divisors (see below), whose sum is σ = 159782400. Its totient is φ = 12782016.

The previous prime is 47933621. The next prime is 47933647. The reversal of 47933640 is 4633974.

47933640 is a `hidden beast` number, since 4 + 7 + 9 + 3 + 3 + 640 = 666.

47933640 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 a junction number, because it is equal to n+sod(n) for n = 47933595 and 47933604.

It is not an unprimeable number, because it can be changed into a prime (47933647) 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 15 ways as a sum of consecutive naturals, for example, 21112 + ... + 23271.

It is an arithmetic number, because the mean of its divisors is an integer number (2496600).

Almost surely, 247933640 is an apocalyptic number.

47933640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47933640 is an abundant number, since it is smaller than the sum of its proper divisors (111848760).

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

47933640 is a wasteful number, since it uses less digits than its factorization.

47933640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44403 (or 44393 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 47933640 is about 6923.4124534076. The cubic root of 47933640 is about 363.2565633797.

The spelling of 47933640 in words is "forty-seven million, nine hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 44383 88766 133149 177532 221915 266298 355064 399447 443830 532596 665745 798894 887660 1065192 1198341 1331490 1597788 1775320 1997235 2396682 2662980 3195576 3994470 4793364 5325960 5991705 7988940 9586728 11983410 15977880 23966820 47933640