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526162041 = 33197912983
BaseRepresentation
bin11111010111001…
…001100001111001
31100200001210122000
4133113021201321
52034144141131
6124113251213
716016206056
oct3727114171
91320053560
10526162041
11250006369
12128263b09
13850151b2
144dc4602d
15312d4ce6
hex1f5c9879

526162041 has 32 divisors (see below), whose sum is σ = 830976000. Its totient is φ = 328081104.

The previous prime is 526162001. The next prime is 526162069. The reversal of 526162041 is 140261625.

526162041 is a `hidden beast` number, since 5 + 2 + 616 + 2 + 0 + 41 = 666.

It is not a de Polignac number, because 526162041 - 210 = 526161017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 526161996 and 526162014.

It is not an unprimeable number, because it can be changed into a prime (526162001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 34036 + ... + 47018.

It is an arithmetic number, because the mean of its divisors is an integer number (25968000).

Almost surely, 2526162041 is an apocalyptic number.

It is an amenable number.

526162041 is a deficient number, since it is larger than the sum of its proper divisors (304813959).

526162041 is a wasteful number, since it uses less digits than its factorization.

526162041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13090 (or 13084 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 526162041 is about 22938.2222720070. Note that the first 4 decimals coincide. The cubic root of 526162041 is about 807.3090813136.

The spelling of 526162041 in words is "five hundred twenty-six million, one hundred sixty-two thousand, forty-one".

Divisors: 1 3 9 19 27 57 79 171 237 513 711 1501 2133 4503 12983 13509 38949 40527 116847 246677 350541 740031 1025657 2220093 3076971 6660279 9230913 19487483 27692739 58462449 175387347 526162041