Search a number
-
+
47649252 = 2237599947
BaseRepresentation
bin1011010111000…
…1000111100100
310022122211111010
42311301013210
544144234002
64421142220
71116004050
oct265610744
9108584433
1047649252
1124995652
1213b5a970
139b44431
146484c60
1542b346c
hex2d711e4

47649252 has 48 divisors (see below), whose sum is σ = 127411200. Its totient is φ = 13576992.

The previous prime is 47649247. The next prime is 47649253. The reversal of 47649252 is 25294674.

47649252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 47649252.

It is not an unprimeable number, because it can be changed into a prime (47649253) 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 15 ways as a sum of consecutive naturals, for example, 49843 + ... + 50789.

It is an arithmetic number, because the mean of its divisors is an integer number (2654400).

Almost surely, 247649252 is an apocalyptic number.

47649252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

47649252 is an abundant number, since it is smaller than the sum of its proper divisors (79761948).

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

47649252 is a wasteful number, since it uses less digits than its factorization.

47649252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1558 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 47649252 is about 6902.8437618130. The cubic root of 47649252 is about 362.5367433227.

The spelling of 47649252 in words is "forty-seven million, six hundred forty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 599 947 1198 1797 1894 2396 2841 3594 3788 4193 5682 6629 7188 8386 11364 12579 13258 16772 19887 25158 26516 39774 50316 79548 567253 1134506 1701759 2269012 3403518 3970771 6807036 7941542 11912313 15883084 23824626 47649252