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47135000 = 235411857
BaseRepresentation
bin1011001111001…
…1100100011000
310021200201001202
42303303210120
544031310000
64402133332
71111432553
oct263634430
9107621052
1047135000
1124674250
1213951248
1399c4343
14638d69a
154210dd5
hex2cf3918

47135000 has 80 divisors (see below), whose sum is σ = 120617640. Its totient is φ = 17120000.

The previous prime is 47134957. The next prime is 47135017. The reversal of 47135000 is 53174.

It is a happy number.

47135000 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 (20).

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 19 ways as a sum of consecutive naturals, for example, 54572 + ... + 55428.

Almost surely, 247135000 is an apocalyptic number.

47135000 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 47135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60308820).

47135000 is an abundant number, since it is smaller than the sum of its proper divisors (73482640).

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

47135000 is a wasteful number, since it uses less digits than its factorization.

47135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 47135000 is about 6865.4934272782. The cubic root of 47135000 is about 361.2278036194.

Adding to 47135000 its reverse (53174), we get a palindrome (47188174).

The spelling of 47135000 in words is "forty-seven million, one hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 857 1000 1100 1250 1375 1714 2200 2500 2750 3428 4285 5000 5500 6856 6875 8570 9427 11000 13750 17140 18854 21425 27500 34280 37708 42850 47135 55000 75416 85700 94270 107125 171400 188540 214250 235675 377080 428500 471350 535625 857000 942700 1071250 1178375 1885400 2142500 2356750 4285000 4713500 5891875 9427000 11783750 23567500 47135000