Search a number
-
+
47682828 = 22325367373
BaseRepresentation
bin1011010111100…
…1010100001100
310022201112112200
42311321110030
544201322303
64422001500
71116203664
oct265712414
9108645480
1047682828
1124a088a6
1213b76290
139b567bb
1464931a4
1542bd3a3
hex2d7950c

47682828 has 72 divisors (see below), whose sum is σ = 124972848. Its totient is φ = 15320448.

The previous prime is 47682793. The next prime is 47682839. The reversal of 47682828 is 82828674.

It is a happy number.

47682828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 127650 + ... + 128022.

It is an arithmetic number, because the mean of its divisors is an integer number (1735734).

Almost surely, 247682828 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 47682828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62486424).

47682828 is an abundant number, since it is smaller than the sum of its proper divisors (77290020).

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

47682828 is a wasteful number, since it uses less digits than its factorization.

47682828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 498 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 47682828 is about 6905.2753746683. The cubic root of 47682828 is about 362.6218770529.

The spelling of 47682828 in words is "forty-seven million, six hundred eighty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 67 106 134 159 201 212 268 318 373 402 477 603 636 746 804 954 1119 1206 1492 1908 2238 2412 3357 3551 4476 6714 7102 10653 13428 14204 19769 21306 24991 31959 39538 42612 49982 59307 63918 74973 79076 99964 118614 127836 149946 177921 224919 237228 299892 355842 449838 711684 899676 1324523 2649046 3973569 5298092 7947138 11920707 15894276 23841414 47682828