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47087232 = 273472609
BaseRepresentation
bin1011001110011…
…1111010000000
310021121021112120
42303213322000
544023242412
64401124240
71111143363
oct263477200
9107537476
1047087232
1124641375
1213929680
1399a868a
14637a0da
154201b8c
hex2ce7e80

47087232 has 64 divisors (see below), whose sum is σ = 127785600. Its totient is φ = 15355904.

The previous prime is 47087231. The next prime is 47087281. The reversal of 47087232 is 23278074.

47087232 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 (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 47087193 and 47087202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47087231) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16744 + ... + 19352.

It is an arithmetic number, because the mean of its divisors is an integer number (1996650).

Almost surely, 247087232 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 47087232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63892800).

47087232 is an abundant number, since it is smaller than the sum of its proper divisors (80698368).

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

47087232 is a wasteful number, since it uses less digits than its factorization.

47087232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 47087232 is about 6862.0136986165. The cubic root of 47087232 is about 361.1057360690.

The spelling of 47087232 in words is "forty-seven million, eighty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 2609 3008 4512 5218 6016 7827 9024 10436 15654 18048 20872 31308 41744 62616 83488 122623 125232 166976 245246 250464 333952 367869 490492 500928 735738 980984 1001856 1471476 1961968 2942952 3923936 5885904 7847872 11771808 15695744 23543616 47087232