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47330352 = 24333312
BaseRepresentation
bin1011010010001…
…1010000110000
310022001122001000
42310203100300
544104032402
64410242000
71113205236
oct264432060
9108048030
1047330352
1124797aa3
1213a26300
139a62234
146400956
15424dc1c
hex2d23430

47330352 has 60 divisors (see below), whose sum is σ = 136267320. Its totient is φ = 15729120.

The previous prime is 47330321. The next prime is 47330357. The reversal of 47330352 is 25303374.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (47330357) 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, 142827 + ... + 143157.

It is an arithmetic number, because the mean of its divisors is an integer number (2271122).

Almost surely, 247330352 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 47330352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68133660).

47330352 is an abundant number, since it is smaller than the sum of its proper divisors (88936968).

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

47330352 is an equidigital number, since it uses as much as digits as its factorization.

47330352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 47330352 is about 6879.7058076636. The cubic root of 47330352 is about 361.7261545230.

Multiplying 47330352 by its sum of digits (27), we get a square (1277919504 = 357482).

47330352 divided by its sum of digits (27) gives a square (1752976 = 13242).

The spelling of 47330352 in words is "forty-seven million, three hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 331 432 662 993 1324 1986 2648 2979 3972 5296 5958 7944 8937 11916 15888 17874 23832 35748 47664 71496 109561 142992 219122 328683 438244 657366 876488 986049 1314732 1752976 1972098 2629464 2958147 3944196 5258928 5916294 7888392 11832588 15776784 23665176 47330352