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47084000 = 255379149
BaseRepresentation
bin1011001110011…
…1000111100000
310021121010002212
42303213013200
544023142000
64401101252
71111131065
oct263470740
9107533085
1047084000
11246399a7
1213927828
1399a7072
146378c6c
154200c35
hex2ce71e0

47084000 has 96 divisors (see below), whose sum is σ = 117936000. Its totient is φ = 18470400.

The previous prime is 47083973. The next prime is 47084029. The reversal of 47084000 is 48074.

47084000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 315926 + ... + 316074.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 247084000 is an apocalyptic number.

47084000 is a gapful number since it is divisible by the number (40) 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 47084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968000).

47084000 is an abundant number, since it is smaller than the sum of its proper divisors (70852000).

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

47084000 is a wasteful number, since it uses less digits than its factorization.

47084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 47084000 is about 6861.7781951911. The cubic root of 47084000 is about 361.0974739536.

The spelling of 47084000 in words is "forty-seven million, eighty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 79 80 100 125 149 158 160 200 250 298 316 395 400 500 596 632 745 790 800 1000 1192 1264 1490 1580 1975 2000 2384 2528 2980 3160 3725 3950 4000 4768 5960 6320 7450 7900 9875 11771 11920 12640 14900 15800 18625 19750 23542 23840 29800 31600 37250 39500 47084 58855 59600 63200 74500 79000 94168 117710 119200 149000 158000 188336 235420 294275 298000 316000 376672 470840 588550 596000 941680 1177100 1471375 1883360 2354200 2942750 4708400 5885500 9416800 11771000 23542000 47084000