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1385642727 = 33723493001
BaseRepresentation
bin101001010010111…
…0011101011100111
310120120022221111000
41102211303223213
510314211031402
6345255044343
746223524500
oct12245635347
93516287430
101385642727
11651182987
123280706b3
131910c2851
14d2055ba7
15819aac1c
hex52973ae7

1385642727 has 48 divisors (see below), whose sum is σ = 2395596000. Its totient is φ = 789264000.

The previous prime is 1385642719. The next prime is 1385642729. The reversal of 1385642727 is 7272465831.

1385642727 is a `hidden beast` number, since 13 + 8 + 564 + 2 + 72 + 7 = 666.

It is not a de Polignac number, because 1385642727 - 23 = 1385642719 is a prime.

Its product of digits (564480) is a multiple of the sum of its prime divisors (3360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385642729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460227 + ... + 463227.

It is an arithmetic number, because the mean of its divisors is an integer number (49908250).

Almost surely, 21385642727 is an apocalyptic number.

1385642727 is a deficient number, since it is larger than the sum of its proper divisors (1009953273).

1385642727 is a wasteful number, since it uses less digits than its factorization.

1385642727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3360 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 1385642727 is about 37224.2223155837. Note that the first 3 decimals coincide. The cubic root of 1385642727 is about 1114.8516702950.

The spelling of 1385642727 in words is "one billion, three hundred eighty-five million, six hundred forty-two thousand, seven hundred twenty-seven".

Divisors: 1 3 7 9 21 27 49 63 147 189 349 441 1047 1323 2443 3001 3141 7329 9003 9423 17101 21007 21987 27009 51303 63021 65961 81027 147049 153909 189063 441147 461727 567189 1047349 1323441 3142047 3970323 7331443 9426141 21994329 28278423 51320101 65982987 153960303 197948961 461880909 1385642727