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47493000 = 2333531759
BaseRepresentation
bin1011010100101…
…0111110001000
310022100220011000
42311022332020
544124234000
64413535000
71114453362
oct265127610
9108326130
1047493000
1124899215
1213aa4460
139abb289
146443d32
154282000
hex2d4af88

47493000 has 128 divisors (see below), whose sum is σ = 164736000. Its totient is φ = 12657600.

The previous prime is 47492993. The next prime is 47493007. The reversal of 47493000 is 39474.

47493000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47492993) and next prime (47493007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (47493007) 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 31 ways as a sum of consecutive naturals, for example, 26121 + ... + 27879.

It is an arithmetic number, because the mean of its divisors is an integer number (1287000).

Almost surely, 247493000 is an apocalyptic number.

47493000 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 47493000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82368000).

47493000 is an abundant number, since it is smaller than the sum of its proper divisors (117243000).

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

47493000 is a wasteful number, since it uses less digits than its factorization.

47493000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 47493000 is about 6891.5165239590. The cubic root of 47493000 is about 362.1400310893.

The spelling of 47493000 in words is "forty-seven million, four hundred ninety-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 675 750 900 1000 1080 1125 1350 1500 1759 1800 2250 2700 3000 3375 3518 4500 5277 5400 6750 7036 8795 9000 10554 13500 14072 15831 17590 21108 26385 27000 31662 35180 42216 43975 47493 52770 63324 70360 79155 87950 94986 105540 126648 131925 158310 175900 189972 211080 219875 237465 263850 316620 351800 379944 395775 439750 474930 527700 633240 659625 791550 879500 949860 1055400 1187325 1319250 1583100 1759000 1899720 1978875 2374650 2638500 3166200 3957750 4749300 5277000 5936625 7915500 9498600 11873250 15831000 23746500 47493000