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47208252 = 223713172543
BaseRepresentation
bin1011010000010…
…1011100111100
310021211102112210
42310011130330
544041131002
64403500420
71112156250
oct264053474
9107742483
1047208252
1124714293
1213987710
139a1b7a0
1463ac260
15422796c
hex2d0573c

47208252 has 96 divisors (see below), whose sum is σ = 143603712. Its totient is φ = 11713536.

The previous prime is 47208247. The next prime is 47208253. The reversal of 47208252 is 25280274.

47208252 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 (47208253) 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, 17293 + ... + 19835.

It is an arithmetic number, because the mean of its divisors is an integer number (1495872).

Almost surely, 247208252 is an apocalyptic number.

47208252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47208252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71801856).

47208252 is an abundant number, since it is smaller than the sum of its proper divisors (96395460).

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

47208252 is a wasteful number, since it uses less digits than its factorization.

47208252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 47208252 is about 6870.8261511990. The cubic root of 47208252 is about 361.4148335227.

The spelling of 47208252 in words is "forty-seven million, two hundred eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 156 182 204 221 238 273 357 364 442 476 546 663 714 884 1092 1326 1428 1547 2543 2652 3094 4641 5086 6188 7629 9282 10172 15258 17801 18564 30516 33059 35602 43231 53403 66118 71204 86462 99177 106806 129693 132236 172924 198354 213612 231413 259386 302617 396708 462826 518772 562003 605234 694239 907851 925652 1124006 1210468 1388478 1686009 1815702 2248012 2776956 3372018 3631404 3934021 6744036 7868042 11802063 15736084 23604126 47208252