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5540084235 = 335719729759
BaseRepresentation
bin1010010100011011…
…01111101000001011
3112022002122102212000
411022031233220023
542321230143420
62313423122043
7254200640040
oct51215575013
915262572760
105540084235
112393262314
1210a7443323
136a3a0996a
143a7acd1c7
1522658b690
hex14a36fa0b

5540084235 has 64 divisors (see below), whose sum is σ = 11313561600. Its totient is φ = 2519669376.

The previous prime is 5540084197. The next prime is 5540084237. The reversal of 5540084235 is 5324800455.

5540084235 is a `hidden beast` number, since 5 + 540 + 0 + 84 + 2 + 35 = 666.

It is not a de Polignac number, because 5540084235 - 221 = 5537987083 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5540084235.

It is not an unprimeable number, because it can be changed into a prime (5540084237) 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 63 ways as a sum of consecutive naturals, for example, 171286 + ... + 201044.

It is an arithmetic number, because the mean of its divisors is an integer number (176774400).

Almost surely, 25540084235 is an apocalyptic number.

5540084235 is an abundant number, since it is smaller than the sum of its proper divisors (5773477365).

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

5540084235 is a wasteful number, since it uses less digits than its factorization.

5540084235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29977 (or 29971 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 5540084235 is about 74431.7421198779. The cubic root of 5540084235 is about 1769.4520136433.

The spelling of 5540084235 in words is "five billion, five hundred forty million, eighty-four thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 197 315 591 945 985 1379 1773 2955 4137 5319 6895 8865 12411 20685 26595 29759 37233 62055 89277 148795 186165 208313 267831 446385 624939 803493 1041565 1339155 1874817 3124695 4017465 5624451 5862523 9374085 17587569 28122255 29312615 41037661 52762707 87937845 123112983 158288121 205188305 263813535 369338949 615564915 791440605 1108016847 1846694745 5540084235