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47056000 = 275317173
BaseRepresentation
bin1011001110000…
…0010010000000
310021112200200211
42303200102000
544021243000
64400323504
71110653335
oct263402200
9107480624
1047056000
112461a962
1213913594
1399973b4
14636c98c
1541e77ba
hex2ce0480

47056000 has 128 divisors (see below), whose sum is σ = 124590960. Its totient is φ = 17612800.

The previous prime is 47055947. The next prime is 47056003. The reversal of 47056000 is 65074.

It can be written as a sum of positive squares in 8 ways, for example, as 13601344 + 33454656 = 3688^2 + 5784^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (47056003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271914 + ... + 272086.

Almost surely, 247056000 is an apocalyptic number.

47056000 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 47056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62295480).

47056000 is an abundant number, since it is smaller than the sum of its proper divisors (77534960).

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

47056000 is a wasteful number, since it uses less digits than its factorization.

47056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 47056000 is about 6859.7376043111. The cubic root of 47056000 is about 361.0258803892.

The spelling of 47056000 in words is "forty-seven million, fifty-six thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 128 136 160 170 173 200 250 272 320 340 346 400 425 500 544 640 680 692 800 850 865 1000 1088 1360 1384 1600 1700 1730 2000 2125 2176 2720 2768 2941 3200 3400 3460 4000 4250 4325 5440 5536 5882 6800 6920 8000 8500 8650 10880 11072 11764 13600 13840 14705 16000 17000 17300 21625 22144 23528 27200 27680 29410 34000 34600 43250 47056 54400 55360 58820 68000 69200 73525 86500 94112 110720 117640 136000 138400 147050 173000 188224 235280 272000 276800 294100 346000 367625 376448 470560 553600 588200 692000 735250 941120 1176400 1384000 1470500 1882240 2352800 2768000 2941000 4705600 5882000 9411200 11764000 23528000 47056000