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4048248141 = 327217335297
BaseRepresentation
bin1111000101001011…
…0101110101001101
3101110010111022110100
43301102311311031
531242322420031
61505412001313
7202214353500
oct36122656515
911403438410
104048248141
111798148823
1294b900239
134c6915602
142a5913137
1518a605de6
hexf14b5d4d

4048248141 has 36 divisors (see below), whose sum is σ = 6807368412. Its totient is φ = 2311513344.

The previous prime is 4048248077. The next prime is 4048248143. The reversal of 4048248141 is 1418428404.

4048248141 is a `hidden beast` number, since 404 + 8 + 248 + 1 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2595494916 + 1452753225 = 50946^2 + 38115^2 .

It is not a de Polignac number, because 4048248141 - 26 = 4048248077 is a prime.

It is a super-2 number, since 2×40482481412 = 32776626022219911762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4048248096 and 4048248105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048248143) 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, 761605 + ... + 766901.

It is an arithmetic number, because the mean of its divisors is an integer number (189093567).

Almost surely, 24048248141 is an apocalyptic number.

It is an amenable number.

4048248141 is a deficient number, since it is larger than the sum of its proper divisors (2759120271).

4048248141 is a wasteful number, since it uses less digits than its factorization.

4048248141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7050 (or 7040 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 4048248141 is about 63625.8449138398. The cubic root of 4048248141 is about 1593.7579900130.

The spelling of 4048248141 in words is "four billion, forty-eight million, two hundred forty-eight thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 1733 5199 5297 12131 15597 15891 36393 37079 47673 84917 109179 111237 254751 259553 333711 764253 778659 2335977 9179701 27539103 64257907 82617309 192773721 449805349 578321163 1349416047 4048248141