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387526381 = 1131891132
BaseRepresentation
bin10111000110010…
…010111011101101
31000000012101020221
4113012102323231
51243201321011
6102242011341
712413630344
oct2706227355
91000171227
10387526381
11189826340
12a9946b51
1362394b68
1439678b5b
152404c971
hex17192eed

387526381 has 24 divisors (see below), whose sum is σ = 445236480. Its totient is φ = 334118400.

The previous prime is 387526361. The next prime is 387526387. The reversal of 387526381 is 183625783.

It is a de Polignac number, because none of the positive numbers 2k-387526381 is a prime.

It is a super-2 number, since 2×3875263812 = 300353391941914322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387526387) 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 23 ways as a sum of consecutive naturals, for example, 3429381 + ... + 3429493.

It is an arithmetic number, because the mean of its divisors is an integer number (18551520).

Almost surely, 2387526381 is an apocalyptic number.

387526381 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

387526381 is a deficient number, since it is larger than the sum of its proper divisors (57710099).

387526381 is a wasteful number, since it uses less digits than its factorization.

387526381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 244 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 387526381 is about 19685.6897516953. The cubic root of 387526381 is about 729.0664121096.

The spelling of 387526381 in words is "three hundred eighty-seven million, five hundred twenty-six thousand, three hundred eighty-one".

Divisors: 1 11 31 89 113 341 979 1243 2759 3503 10057 12769 30349 38533 110627 140459 311767 395839 1136441 3429437 4354229 12500851 35229671 387526381