Search a number
-
+
1387380488 = 2313210132
BaseRepresentation
bin101001010110001…
…1011111100001000
310120200121020020112
41102230123330020
510320132133423
6345400213452
746244353034
oct12254337410
93520536215
101387380488
1165215a54a
1232876a288
13191580800
14d23891c4
1581c00a78
hex52b1bf08

1387380488 has 36 divisors (see below), whose sum is σ = 2819617335. Its totient is φ = 639697344.

The previous prime is 1387380481. The next prime is 1387380499. The reversal of 1387380488 is 8840837831.

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.

It can be written as a sum of positive squares in 5 ways, for example, as 159719044 + 1227661444 = 12638^2 + 35038^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=26338.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1387380481) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1369070 + ... + 1370082.

Almost surely, 21387380488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387380488

1387380488 is an abundant number, since it is smaller than the sum of its proper divisors (1432236847).

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

1387380488 is an equidigital number, since it uses as much as digits as its factorization.

1387380488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 50.

The square root of 1387380488 is about 37247.5568057826. The cubic root of 1387380488 is about 1115.3175278575.

Multiplying 1387380488 by its sum of digits (50), we get a square (69369024400 = 2633802).

The spelling of 1387380488 in words is "one billion, three hundred eighty-seven million, three hundred eighty thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1013 1352 2026 4052 8104 13169 26338 52676 105352 171197 342394 684788 1026169 1369576 2052338 4104676 8209352 13340197 26680394 53360788 106721576 173422561 346845122 693690244 1387380488