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47007000 = 2333531741
BaseRepresentation
bin1011001101010…
…0010100011000
310021110012111000
42303110110120
544013211000
64355305000
71110360435
oct263242430
9107405430
1047007000
1124597067
12138ab160
13997acc1
146358b8c
1541d8000
hex2cd4518

47007000 has 128 divisors (see below), whose sum is σ = 163051200. Its totient is φ = 12528000.

The previous prime is 47006977. The next prime is 47007019. The reversal of 47007000 is 70074.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 26130 + ... + 27870.

Almost surely, 247007000 is an apocalyptic number.

47007000 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 47007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81525600).

47007000 is an abundant number, since it is smaller than the sum of its proper divisors (116044200).

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

47007000 is a wasteful number, since it uses less digits than its factorization.

47007000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 47007000 is about 6856.1651088637. The cubic root of 47007000 is about 360.9005232823.

Adding to 47007000 its reverse (70074), we get a palindrome (47077074).

The spelling of 47007000 in words is "forty-seven million, seven 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 1741 1800 2250 2700 3000 3375 3482 4500 5223 5400 6750 6964 8705 9000 10446 13500 13928 15669 17410 20892 26115 27000 31338 34820 41784 43525 47007 52230 62676 69640 78345 87050 94014 104460 125352 130575 156690 174100 188028 208920 217625 235035 261150 313380 348200 376056 391725 435250 470070 522300 626760 652875 783450 870500 940140 1044600 1175175 1305750 1566900 1741000 1880280 1958625 2350350 2611500 3133800 3917250 4700700 5223000 5875875 7834500 9401400 11751750 15669000 23503500 47007000