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3540385827 = 351123472
BaseRepresentation
bin1101001100000110…
…0000000000100011
3100010201212020100000
43103001200000203
524222314321302
61343150431043
7153506532366
oct32301400043
910121766300
103540385827
111557501300
12829802483
13445639974
142582b20dd
1515ac3831c
hexd3060023

3540385827 has 54 divisors (see below), whose sum is σ = 5846087884. Its totient is φ = 2139504840.

The previous prime is 3540385799. The next prime is 3540385867. The reversal of 3540385827 is 7285830453.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3540385827 is a `hidden beast` number, since 3 + 540 + 3 + 85 + 8 + 27 = 666.

It is not a de Polignac number, because 3540385827 - 26 = 3540385763 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3540385867) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10202668 + ... + 10203014.

Almost surely, 23540385827 is an apocalyptic number.

3540385827 is a deficient number, since it is larger than the sum of its proper divisors (2305702057).

3540385827 is an frugal number, since it uses more digits than its factorization.

3540385827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 3540385827 is about 59501.1413924136. The cubic root of 3540385827 is about 1524.1119368770. Note that the first 3 decimals are identical.

The spelling of 3540385827 in words is "three billion, five hundred forty million, three hundred eighty-five thousand, eight hundred twenty-seven".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 347 363 891 1041 1089 2673 3123 3267 3817 9369 9801 11451 28107 29403 34353 41987 84321 103059 120409 125961 309177 361227 377883 927531 1083681 1133649 1324499 3251043 3400947 3973497 9753129 10202841 11920491 14569489 29259387 35761473 43708467 107284419 131125401 321853257 393376203 1180128609 3540385827