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1387838361 = 37135083657
BaseRepresentation
bin101001010111000…
…1011101110011001
310120201110111022210
41102232023232121
510320241311421
6345414105333
746251300660
oct12256135631
93521414283
101387838361
11652442558
1232894b249
131916b1040
14d2467dd7
1581c91576
hex52b8bb99

1387838361 has 16 divisors (see below), whose sum is σ = 2277478784. Its totient is φ = 732046464.

The previous prime is 1387838339. The next prime is 1387838371. The reversal of 1387838361 is 1638387831.

It is not a de Polignac number, because 1387838361 - 25 = 1387838329 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 1387838361.

It is not an unprimeable number, because it can be changed into a prime (1387838371) 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 15 ways as a sum of consecutive naturals, for example, 2541556 + ... + 2542101.

It is an arithmetic number, because the mean of its divisors is an integer number (142342424).

Almost surely, 21387838361 is an apocalyptic number.

It is an amenable number.

1387838361 is a deficient number, since it is larger than the sum of its proper divisors (889640423).

1387838361 is a wasteful number, since it uses less digits than its factorization.

1387838361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5083680.

The product of its digits is 580608, while the sum is 48.

The square root of 1387838361 is about 37253.7026481932. The cubic root of 1387838361 is about 1115.4402093229.

The spelling of 1387838361 in words is "one billion, three hundred eighty-seven million, eight hundred thirty-eight thousand, three hundred sixty-one".

Divisors: 1 3 7 13 21 39 91 273 5083657 15250971 35585599 66087541 106756797 198262623 462612787 1387838361