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47288368 = 2423237151
BaseRepresentation
bin1011010001100…
…1000000110000
310021222111110001
42310121000300
544101211433
64405315344
71112641651
oct264310060
9107874401
1047288368
11247694a6
1213a05b54
139a490aa
1463cd528
15424157d
hex2d19030

47288368 has 60 divisors (see below), whose sum is σ = 99017968. Its totient is φ = 21859200.

The previous prime is 47288333. The next prime is 47288369. The reversal of 47288368 is 86388274.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47288369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313093 + ... + 313243.

Almost surely, 247288368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47288368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49508984).

47288368 is an abundant number, since it is smaller than the sum of its proper divisors (51729600).

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

47288368 is a wasteful number, since it uses less digits than its factorization.

47288368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 213 counting only the distinct ones).

The product of its digits is 516096, while the sum is 46.

The square root of 47288368 is about 6876.6538374416. The cubic root of 47288368 is about 361.6191674780.

The spelling of 47288368 in words is "forty-seven million, two hundred eighty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 23 37 46 74 92 148 151 184 296 302 368 529 592 604 851 1058 1208 1702 2116 2416 3404 3473 4232 5587 6808 6946 8464 11174 13616 13892 19573 22348 27784 39146 44696 55568 78292 79879 89392 128501 156584 159758 257002 313168 319516 514004 639032 1028008 1278064 2056016 2955523 5911046 11822092 23644184 47288368