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47288664 = 2333376197
BaseRepresentation
bin1011010001100…
…1000101011000
310021222111212000
42310121011120
544101214124
64405321000
71112642553
oct264310530
9107874760
1047288664
1124769745
1213a06160
139a49277
1463cd69a
1542416c9
hex2d19158

47288664 has 128 divisors (see below), whose sum is σ = 138532800. Its totient is φ = 14929920.

The previous prime is 47288653. The next prime is 47288719. The reversal of 47288664 is 46688274.

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, 487464 + ... + 487560.

Almost surely, 247288664 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 47288664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69266400).

47288664 is an abundant number, since it is smaller than the sum of its proper divisors (91244136).

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

47288664 is a wasteful number, since it uses less digits than its factorization.

47288664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 47288664 is about 6876.6753595033. The cubic root of 47288664 is about 361.6199219909.

The spelling of 47288664 in words is "forty-seven million, two hundred eighty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 61 72 74 97 108 111 122 148 183 194 216 222 244 291 296 333 366 388 444 488 549 582 666 732 776 873 888 999 1098 1164 1332 1464 1647 1746 1998 2196 2257 2328 2619 2664 3294 3492 3589 3996 4392 4514 5238 5917 6588 6771 6984 7178 7992 9028 10476 10767 11834 13176 13542 14356 17751 18056 20313 20952 21534 23668 27084 28712 32301 35502 40626 43068 47336 53253 54168 60939 64602 71004 81252 86136 96903 106506 121878 129204 142008 159759 162504 193806 213012 218929 243756 258408 319518 387612 426024 437858 487512 639036 656787 775224 875716 1278072 1313574 1751432 1970361 2627148 3940722 5254296 5911083 7881444 11822166 15762888 23644332 47288664