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47133738 = 235293331
BaseRepresentation
bin1011001111001…
…1010000101010
310021200122100000
42303303100222
544031234423
64402123430
71111426101
oct263632052
9107618300
1047133738
1124673303
1213950576
1399c38b2
14638d038
154210843
hex2cf342a

47133738 has 48 divisors (see below), whose sum is σ = 106587936. Its totient is φ = 15610320.

The previous prime is 47133721. The next prime is 47133761. The reversal of 47133738 is 83733174.

47133738 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 23 ways as a sum of consecutive naturals, for example, 142233 + ... + 142563.

It is an arithmetic number, because the mean of its divisors is an integer number (2220582).

Almost surely, 247133738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47133738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53293968).

47133738 is an abundant number, since it is smaller than the sum of its proper divisors (59454198).

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

47133738 is a wasteful number, since it uses less digits than its factorization.

47133738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 629 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 47133738 is about 6865.4015177555. The cubic root of 47133738 is about 361.2245797337.

The spelling of 47133738 in words is "forty-seven million, one hundred thirty-three thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 293 331 486 586 662 879 993 1758 1986 2637 2979 5274 5958 7911 8937 15822 17874 23733 26811 47466 53622 71199 80433 96983 142398 160866 193966 290949 581898 872847 1745694 2618541 5237082 7855623 15711246 23566869 47133738