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47049282 = 2337196551
BaseRepresentation
bin1011001101111…
…0101001000010
310021112100111000
42303132221002
544021034112
64400232430
71110624630
oct263365102
9107470430
1047049282
1124615905
121390b716
139994317
14636a350
1541e57dc
hex2cdea42

47049282 has 64 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 12733200.

The previous prime is 47049271. The next prime is 47049287. The reversal of 47049282 is 28294074.

47049282 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 not an unprimeable number, because it can be changed into a prime (47049287) 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 31 ways as a sum of consecutive naturals, for example, 3907 + ... + 10457.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 247049282 is an apocalyptic number.

47049282 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 47049282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

47049282 is an abundant number, since it is smaller than the sum of its proper divisors (78749118).

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

47049282 is a wasteful number, since it uses less digits than its factorization.

47049282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6588 (or 6582 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 47049282 is about 6859.2479179572. The cubic root of 47049282 is about 361.0086988233.

The spelling of 47049282 in words is "forty-seven million, forty-nine thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1197 2394 3591 6551 7182 13102 19653 39306 45857 58959 91714 117918 124469 137571 176877 248938 275142 353754 373407 412713 746814 825426 871283 1120221 1238139 1742566 2240442 2476278 2613849 3360663 5227698 6721326 7841547 15683094 23524641 47049282