Search a number
-
+
1389432825 = 335211187129
BaseRepresentation
bin101001011010001…
…0000111111111001
310120211110111112000
41102310100333321
510321143322300
6345512211213
746300661364
oct12264207771
93524414460
101389432825
116533314a0
12329399b09
13191b1ba01
14d27610db
1581ea8c00
hex52d10ff9

1389432825 has 48 divisors (see below), whose sum is σ = 2784494400. Its totient is φ = 673660800.

The previous prime is 1389432799. The next prime is 1389432851. The reversal of 1389432825 is 5282349831.

1389432825 is a `hidden beast` number, since 138 + 9 + 432 + 82 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1389432799) and next prime (1389432851).

It is not a de Polignac number, because 1389432825 - 225 = 1355878393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86140 + ... + 100989.

It is an arithmetic number, because the mean of its divisors is an integer number (58010300).

Almost surely, 21389432825 is an apocalyptic number.

1389432825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1389432825 is an abundant number, since it is smaller than the sum of its proper divisors (1395061575).

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

1389432825 is a wasteful number, since it uses less digits than its factorization.

1389432825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187159 (or 187148 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1389432825 is about 37275.0965793517. The cubic root of 1389432825 is about 1115.8672159626.

The spelling of 1389432825 in words is "one billion, three hundred eighty-nine million, four hundred thirty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 2475 7425 187129 561387 935645 1684161 2058419 2806935 4678225 5052483 6175257 8420805 10292095 14034675 18525771 25262415 30876285 42104025 51460475 55577313 92628855 126312075 154381425 277886565 463144275 1389432825