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47897472 = 2737103173
BaseRepresentation
bin1011011010110…
…1101110000000
310100010102222110
42312231232000
544230204342
64430335320
71121056530
oct266555600
9110112873
1047897472
1125045097
121405a540
139c003cc
14650b4c0
154311c9c
hex2dadb80

47897472 has 128 divisors (see below), whose sum is σ = 147663360. Its totient is φ = 13473792.

The previous prime is 47897459. The next prime is 47897489. The reversal of 47897472 is 27479874.

47897472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (790272) is a multiple of the sum of its prime divisors (288).

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 15 ways as a sum of consecutive naturals, for example, 276778 + ... + 276950.

It is an arithmetic number, because the mean of its divisors is an integer number (1153620).

Almost surely, 247897472 is an apocalyptic number.

47897472 is a gapful number since it is divisible by the number (42) 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 47897472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73831680).

47897472 is an abundant number, since it is smaller than the sum of its proper divisors (99765888).

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

47897472 is a wasteful number, since it uses less digits than its factorization.

47897472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its digits is 790272, while the sum is 48.

The square root of 47897472 is about 6920.7999537626. The cubic root of 47897472 is about 363.1651761394.

The spelling of 47897472 in words is "forty-seven million, eight hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 128 168 173 192 206 224 309 336 346 384 412 448 519 618 672 692 721 824 896 1038 1211 1236 1344 1384 1442 1648 2076 2163 2422 2472 2688 2768 2884 3296 3633 4152 4326 4844 4944 5536 5768 6592 7266 8304 8652 9688 9888 11072 11536 13184 14532 16608 17304 17819 19376 19776 22144 23072 29064 33216 34608 35638 38752 39552 46144 53457 58128 66432 69216 71276 77504 92288 106914 116256 124733 138432 142552 155008 213828 232512 249466 276864 285104 374199 427656 465024 498932 570208 748398 855312 997864 1140416 1496796 1710624 1995728 2280832 2993592 3421248 3991456 5987184 6842496 7982912 11974368 15965824 23948736 47897472