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47133268 = 22713314177
BaseRepresentation
bin1011001111001…
…1001001010100
310021200121200121
42303303021110
544031231033
64402121324
71111424530
oct263631124
9107617617
1047133268
1124672a16
1213950244
1399c3610
14638cbc0
15421062d
hex2cf3254

47133268 has 48 divisors (see below), whose sum is σ = 104817664. Its totient is φ = 18040320.

The previous prime is 47133259. The next prime is 47133277. The reversal of 47133268 is 86233174.

It is a happy number.

47133268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47133259) and next prime (47133277).

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, 9196 + ... + 13372.

Almost surely, 247133268 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 47133268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52408832).

47133268 is an abundant number, since it is smaller than the sum of its proper divisors (57684396).

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

47133268 is a wasteful number, since it uses less digits than its factorization.

47133268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232 (or 4230 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 47133268 is about 6865.3672880626. The cubic root of 47133268 is about 361.2233790642.

The spelling of 47133268 in words is "forty-seven million, one hundred thirty-three thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 806 868 1612 2821 4177 5642 8354 11284 16708 29239 54301 58478 108602 116956 129487 217204 258974 380107 517948 760214 906409 1520428 1683331 1812818 3366662 3625636 6733324 11783317 23566634 47133268