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4097516238 = 232433525727
BaseRepresentation
bin1111010000111011…
…0010001011001110
3101120120012101120200
43310032302023032
531342431004423
61514331554330
7203353212324
oct36416621316
911516171520
104097516238
111812a39662
129642bb9a6
13503ba582a
142ac299d14
1518ead8d43
hexf43b22ce

4097516238 has 24 divisors (see below), whose sum is σ = 8898472128. Its totient is φ = 1362681792.

The previous prime is 4097516209. The next prime is 4097516243. The reversal of 4097516238 is 8326157904.

4097516238 is a `hidden beast` number, since 40 + 97 + 516 + 2 + 3 + 8 = 666.

4097516238 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

4097516238 is strictly pandigital in base 10.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4097516193 and 4097516202.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 255070 + ... + 270657.

It is an arithmetic number, because the mean of its divisors is an integer number (370769672).

It is a 2-persistent number, because it is pandigital, and so is 2⋅4097516238 = 8195032476, but 3⋅4097516238 = 12292548714 is not.

Almost surely, 24097516238 is an apocalyptic number.

4097516238 is an abundant number, since it is smaller than the sum of its proper divisors (4800955890).

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

4097516238 is a wasteful number, since it uses less digits than its factorization.

4097516238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526168 (or 526165 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4097516238 is about 64011.8445133399. The cubic root of 4097516238 is about 1600.1974024671.

The spelling of 4097516238 in words is "four billion, ninety-seven million, five hundred sixteen thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 433 866 1299 2598 3897 7794 525727 1051454 1577181 3154362 4731543 9463086 227639791 455279582 682919373 1365838746 2048758119 4097516238