Search a number
-
+
47982837825 = 32521316404389
BaseRepresentation
bin101100101100000000…
…000000000001000001
311120212000011201022200
4230230000000001001
51241232101302300
634013142423413
73316026251316
oct545400000101
9146760151280
1047982837825
111939307427a
129371431b69
1346a8b96b40
142472888d0d
1513ac742200
hexb2c000041

47982837825 has 36 divisors (see below), whose sum is σ = 92553568380. Its totient is φ = 23622318720.

The previous prime is 47982837817. The next prime is 47982837827. The reversal of 47982837825 is 52873828974.

47982837825 is a `hidden beast` number, since 479 + 8 + 2 + 83 + 7 + 82 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14584909824 + 33397928001 = 120768^2 + 182751^2 .

It is not a de Polignac number, because 47982837825 - 23 = 47982837817 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (47982837827) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8199270 + ... + 8205119.

It is an arithmetic number, because the mean of its divisors is an integer number (2570932455).

Almost surely, 247982837825 is an apocalyptic number.

47982837825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47982837825 is a deficient number, since it is larger than the sum of its proper divisors (44570730555).

47982837825 is a wasteful number, since it uses less digits than its factorization.

47982837825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16404418 (or 16404410 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

It can be divided in two parts, 479828 and 37825, that added together give a triangular number (517653 = T1017).

The spelling of 47982837825 in words is "forty-seven billion, nine hundred eighty-two million, eight hundred thirty-seven thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2925 16404389 49213167 82021945 147639501 213257057 246065835 410109725 639771171 738197505 1066285285 1230329175 1919313513 3198855855 3690987525 5331426425 9596567565 15994279275 47982837825