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47449452 = 22329592311
BaseRepresentation
bin1011010100000…
…0010101101100
310022021200102010
42311000111230
544121340302
64413001220
71114212411
oct265002554
9108250363
1047449452
1124869526
1213a83210
139aa44cb
146432108
15427416c
hex2d4056c

47449452 has 48 divisors (see below), whose sum is σ = 116524800. Its totient is φ = 15005760.

The previous prime is 47449447. The next prime is 47449453. The reversal of 47449452 is 25494474.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 47449452.

It is not an unprimeable number, because it can be changed into a prime (47449453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19377 + ... + 21687.

It is an arithmetic number, because the mean of its divisors is an integer number (2427600).

Almost surely, 247449452 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 47449452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58262400).

47449452 is an abundant number, since it is smaller than the sum of its proper divisors (69075348).

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

47449452 is a wasteful number, since it uses less digits than its factorization.

47449452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2404 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 47449452 is about 6888.3562625637. The cubic root of 47449452 is about 362.0293109362.

It can be divided in two parts, 4744 and 9452, that added together give a triangular number (14196 = T168).

The spelling of 47449452 in words is "forty-seven million, four hundred forty-nine thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 58 59 87 116 118 174 177 236 348 354 708 1711 2311 3422 4622 5133 6844 6933 9244 10266 13866 20532 27732 67019 134038 136349 201057 268076 272698 402114 409047 545396 804228 818094 1636188 3954121 7908242 11862363 15816484 23724726 47449452