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47067240 = 233511181197
BaseRepresentation
bin1011001110001…
…1000001101000
310021120021010010
42303203001220
544022122430
64400451520
71111031163
oct263430150
9107507103
1047067240
1124628350
1213919ba0
13999c54c
146372ada
1541eacb0
hex2ce3068

47067240 has 128 divisors (see below), whose sum is σ = 155675520. Its totient is φ = 11289600.

The previous prime is 47067239. The next prime is 47067247. The reversal of 47067240 is 4276074.

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

It is a junction number, because it is equal to n+sod(n) for n = 47067198 and 47067207.

It is not an unprimeable number, because it can be changed into a prime (47067247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238822 + ... + 239018.

It is an arithmetic number, because the mean of its divisors is an integer number (1216215).

Almost surely, 247067240 is an apocalyptic number.

47067240 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 47067240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77837760).

47067240 is an abundant number, since it is smaller than the sum of its proper divisors (108608280).

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

47067240 is a wasteful number, since it uses less digits than its factorization.

47067240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 47067240 is about 6860.5568287130. The cubic root of 47067240 is about 361.0546235026.

The spelling of 47067240 in words is "forty-seven million, sixty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 181 197 220 264 330 362 394 440 543 591 660 724 788 905 985 1086 1182 1320 1448 1576 1810 1970 1991 2167 2172 2364 2715 2955 3620 3940 3982 4334 4344 4728 5430 5910 5973 6501 7240 7880 7964 8668 9955 10835 10860 11820 11946 13002 15928 17336 19910 21670 21720 23640 23892 26004 29865 32505 35657 39820 43340 47784 52008 59730 65010 71314 79640 86680 106971 119460 130020 142628 178285 213942 238920 260040 285256 356570 392227 427884 534855 713140 784454 855768 1069710 1176681 1426280 1568908 1961135 2139420 2353362 3137816 3922270 4278840 4706724 5883405 7844540 9413448 11766810 15689080 23533620 47067240