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47853252 = 223273131139
BaseRepresentation
bin1011011010001…
…0111011000100
310100001012022200
42312202323010
544222301002
64425354500
71120513566
oct266427304
9110035280
1047853252
1125014947
1214038a30
139bb6245
1464d9336
154303b1c
hex2da2ec4

47853252 has 72 divisors (see below), whose sum is σ = 124444320. Its totient is φ = 15500160.

The previous prime is 47853251. The next prime is 47853263. The reversal of 47853252 is 25235874.

47853252 is a `hidden beast` number, since 4 + 78 + 532 + 52 = 666.

47853252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47853251) 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 23 ways as a sum of consecutive naturals, for example, 344199 + ... + 344337.

Almost surely, 247853252 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 47853252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62222160).

47853252 is an abundant number, since it is smaller than the sum of its proper divisors (76591068).

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

47853252 is a wasteful number, since it uses less digits than its factorization.

47853252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 348 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 47853252 is about 6917.6044986686. The cubic root of 47853252 is about 363.0533810348.

The spelling of 47853252 in words is "forty-seven million, eight hundred fifty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 131 139 146 219 262 278 292 393 417 438 524 556 657 786 834 876 1179 1251 1314 1572 1668 2358 2502 2628 4716 5004 9563 10147 18209 19126 20294 28689 30441 36418 38252 40588 54627 57378 60882 72836 86067 91323 109254 114756 121764 163881 172134 182646 218508 327762 344268 365292 655524 1329257 2658514 3987771 5317028 7975542 11963313 15951084 23926626 47853252