Search a number
-
+
1388539152 = 243371113319
BaseRepresentation
bin101001011000011…
…0110110100010000
310120202210002122000
41102300312310100
510320431223102
6345441114000
746260250050
oct12260666420
93522702560
101388539152
11652881020
12329028900
13191898000
14d25ab560
1581d7e01c
hex52c36d10

1388539152 has 640 divisors, whose sum is σ = 5666304000. Its totient is φ = 315394560.

The previous prime is 1388539151. The next prime is 1388539153. The reversal of 1388539152 is 2519358831.

1388539152 is a `hidden beast` number, since 138 + 85 + 391 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (1388539151) and next prime (1388539153).

It is a junction number, because it is equal to n+sod(n) for n = 1388539098 and 1388539107.

It is not an unprimeable number, because it can be changed into a prime (1388539151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73080999 + ... + 73081017.

It is an arithmetic number, because the mean of its divisors is an integer number (8853600).

Almost surely, 21388539152 is an apocalyptic number.

1388539152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1388539152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833152000).

1388539152 is an abundant number, since it is smaller than the sum of its proper divisors (4277764848).

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

1388539152 is a wasteful number, since it uses less digits than its factorization.

1388539152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 55 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 1388539152 is about 37263.1071168253. The cubic root of 1388539152 is about 1115.6279254496.

The spelling of 1388539152 in words is "one billion, three hundred eighty-eight million, five hundred thirty-nine thousand, one hundred fifty-two".