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5040438325 = 521338939869
BaseRepresentation
bin1001011000110111…
…01111110000110101
3111000021110210111221
410230123233300311
540310323011300
62152054030341
7235623006316
oct45433576065
914007423457
105040438325
112157217a0a
12b880483b1
13624349ab0
1435b5ca60d
151e779331a
hex12c6efc35

5040438325 has 24 divisors (see below), whose sum is σ = 6748396200. Its totient is φ = 3712508160.

The previous prime is 5040438289. The next prime is 5040438329. The reversal of 5040438325 is 5238340405.

It can be written as a sum of positive squares in 12 ways, for example, as 2766865201 + 2273573124 = 52601^2 + 47682^2 .

It is not a de Polignac number, because 5040438325 - 219 = 5039914037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040438329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106491 + ... + 146359.

It is an arithmetic number, because the mean of its divisors is an integer number (281183175).

Almost surely, 25040438325 is an apocalyptic number.

It is an amenable number.

5040438325 is a deficient number, since it is larger than the sum of its proper divisors (1707957875).

5040438325 is a wasteful number, since it uses less digits than its factorization.

5040438325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40281 (or 40276 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 5040438325 is about 70996.0444320668. The cubic root of 5040438325 is about 1714.5734786352.

The spelling of 5040438325 in words is "five billion, forty million, four hundred thirty-eight thousand, three hundred twenty-five".

Divisors: 1 5 13 25 65 325 389 1945 5057 9725 25285 39869 126425 199345 518297 996725 2591485 12957425 15509041 77545205 201617533 387726025 1008087665 5040438325