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1387205838 = 23519714489
BaseRepresentation
bin101001010101111…
…0001010011001110
310120200021100200000
41102223301103032
510320111041323
6345352345130
746243024614
oct12253612316
93520240600
101387205838
11652050307
123286a51a6
1319151c175
14d23416b4
1581bb8e43
hex52af14ce

1387205838 has 48 divisors (see below), whose sum is σ = 3132969840. Its totient is φ = 460022976.

The previous prime is 1387205803. The next prime is 1387205839. The reversal of 1387205838 is 8385027831.

1387205838 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1387205793 and 1387205802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1387205839) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88498 + ... + 102986.

It is an arithmetic number, because the mean of its divisors is an integer number (65270205).

Almost surely, 21387205838 is an apocalyptic number.

1387205838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387205838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566484920).

1387205838 is an abundant number, since it is smaller than the sum of its proper divisors (1745764002).

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

1387205838 is a wasteful number, since it uses less digits than its factorization.

1387205838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14703 (or 14691 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1387205838 is about 37245.2122829230. The cubic root of 1387205838 is about 1115.2707254164.

The spelling of 1387205838 in words is "one billion, three hundred eighty-seven million, two hundred five thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 197 243 394 486 591 1182 1773 3546 5319 10638 14489 15957 28978 31914 43467 47871 86934 95742 130401 260802 391203 782406 1173609 2347218 2854333 3520827 5708666 7041654 8562999 17125998 25688997 51377994 77066991 154133982 231200973 462401946 693602919 1387205838