Search a number
-
+
1339285248 = 28327211863
BaseRepresentation
bin100111111010011…
…1101111100000000
310110100002201222100
41033310331330000
510220324111443
6340521310400
745121510500
oct11764757400
93410081870
101339285248
11627a9a914
12314635400
131846113a2
14c9c29a00
157c8a03d3
hex4fd3df00

1339285248 has 162 divisors, whose sum is σ = 4492315464. Its totient is φ = 382620672.

The previous prime is 1339285223. The next prime is 1339285253. The reversal of 1339285248 is 8425829331.

1339285248 is a `hidden beast` number, since 1 + 33 + 92 + 8 + 524 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 106965 + ... + 118827.

Almost surely, 21339285248 is an apocalyptic number.

1339285248 is a gapful number since it is divisible by the number (18) 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 1339285248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246157732).

1339285248 is an abundant number, since it is smaller than the sum of its proper divisors (3153030216).

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

1339285248 is a wasteful number, since it uses less digits than its factorization.

1339285248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11899 (or 11875 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1339285248 is about 36596.2463648938. The cubic root of 1339285248 is about 1102.2777178479.

It can be divided in two parts, 13392852 and 48, that added together give a triangular number (13392900 = T5175).

The spelling of 1339285248 in words is "one billion, three hundred thirty-nine million, two hundred eighty-five thousand, two hundred forty-eight".