Search a number
-
+
1350551808 = 28321729241
BaseRepresentation
bin101000001111111…
…1100100100000000
310111010022010210100
41100133330210000
510231220124213
6342003002400
745316333554
oct12037744400
93433263710
101350551808
11633395621
12318369400
13186a575a8
14cb51d864
157d878773
hex507fc900

1350551808 has 324 divisors, whose sum is σ = 4374256068. Its totient is φ = 399114240.

The previous prime is 1350551801. The next prime is 1350551929. The reversal of 1350551808 is 8081550531.

1350551808 is a `hidden beast` number, since 135 + 0 + 5 + 518 + 0 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 16257024 + 1334294784 = 4032^2 + 36528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1350551801) 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 35 ways as a sum of consecutive naturals, for example, 32940268 + ... + 32940308.

Almost surely, 21350551808 is an apocalyptic number.

1350551808 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 1350551808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187128034).

1350551808 is an abundant number, since it is smaller than the sum of its proper divisors (3023704260).

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

1350551808 is a wasteful number, since it uses less digits than its factorization.

1350551808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The square root of 1350551808 is about 36749.8545303243. The cubic root of 1350551808 is about 1105.3600126394.

The spelling of 1350551808 in words is "one billion, three hundred fifty million, five hundred fifty-one thousand, eight hundred eight".