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47725368 = 23323312789
BaseRepresentation
bin1011011000001…
…1101100111000
310022210200220020
42312003230320
544204202433
64422530440
71116442005
oct266035470
9108720806
1047725368
1124a37859
1213b96a20
139b6cc82
1464a48ac
1542cacb3
hex2d83b38

47725368 has 64 divisors (see below), whose sum is σ = 128563200. Its totient is φ = 14720640.

The previous prime is 47725333. The next prime is 47725411. The reversal of 47725368 is 86352774.

47725368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 15718 + ... + 18506.

It is an arithmetic number, because the mean of its divisors is an integer number (2008800).

Almost surely, 247725368 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 47725368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600).

47725368 is an abundant number, since it is smaller than the sum of its proper divisors (80837832).

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

47725368 is a wasteful number, since it uses less digits than its factorization.

47725368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2848 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 47725368 is about 6908.3549416630. The cubic root of 47725368 is about 362.7296821068.

The spelling of 47725368 in words is "forty-seven million, seven hundred twenty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 276 372 552 713 744 1426 2139 2789 2852 4278 5578 5704 8367 8556 11156 16734 17112 22312 33468 64147 66936 86459 128294 172918 192441 256588 259377 345836 384882 513176 518754 691672 769764 1037508 1539528 1988557 2075016 3977114 5965671 7954228 11931342 15908456 23862684 47725368