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47439392 = 25711131481
BaseRepresentation
bin1011010011110…
…1111000100000
310022021011121112
42310331320200
544121030032
64412442452
71114141160
oct264757040
9108234545
1047439392
1124861a10
1213a79428
139a9ca60
14642c5a0
1542711b2
hex2d3de20

47439392 has 96 divisors (see below), whose sum is σ = 125483904. Its totient is φ = 17049600.

The previous prime is 47439383. The next prime is 47439437. The reversal of 47439392 is 29393474.

47439392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 31292 + ... + 32772.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 247439392 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 47439392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62741952).

47439392 is an abundant number, since it is smaller than the sum of its proper divisors (78044512).

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

47439392 is a wasteful number, since it uses less digits than its factorization.

47439392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1514 counting only the distinct ones).

The product of its digits is 163296, while the sum is 41.

The square root of 47439392 is about 6887.6260061069. The cubic root of 47439392 is about 362.0037239017.

The spelling of 47439392 in words is "forty-seven million, four hundred thirty-nine thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1456 1481 2002 2288 2464 2912 2962 4004 4576 5924 8008 10367 11848 16016 16291 19253 20734 23696 32032 32582 38506 41468 47392 65164 77012 82936 114037 130328 134771 154024 165872 211783 228074 260656 269542 308048 331744 423566 456148 521312 539084 616096 847132 912296 1078168 1482481 1694264 1824592 2156336 2964962 3388528 3649184 4312672 5929924 6777056 11859848 23719696 47439392