Search a number
-
+
1461939678 = 23426334313
BaseRepresentation
bin101011100100011…
…0110110111011110
310202212220020020000
41113020312313132
510443224032203
6401022235130
751141165543
oct12710666736
93685806200
101461939678
11690254a11
12349725aa6
131a3b57584
14dc236bca
158852c4a3
hex57236dde

1461939678 has 40 divisors (see below), whose sum is σ = 3288379248. Its totient is φ = 485446176.

The previous prime is 1461939641. The next prime is 1461939679. The reversal of 1461939678 is 8769391641.

1461939678 is a `hidden beast` number, since 1 + 461 + 93 + 96 + 7 + 8 = 666.

It is a super-2 number, since 2×14619396782 = 4274535244221487368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461939679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25450 + ... + 59762.

Almost surely, 21461939678 is an apocalyptic number.

1461939678 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 1461939678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644189624).

1461939678 is an abundant number, since it is smaller than the sum of its proper divisors (1826439570).

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

1461939678 is a wasteful number, since it uses less digits than its factorization.

1461939678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34590 (or 34581 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 1461939678 is about 38235.3197711226. The cubic root of 1461939678 is about 1134.9493603650.

The spelling of 1461939678 in words is "one billion, four hundred sixty-one million, nine hundred thirty-nine thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 263 526 789 1578 2367 4734 7101 14202 21303 34313 42606 68626 102939 205878 308817 617634 926451 1852902 2779353 5558706 9024319 18048638 27072957 54145914 81218871 162437742 243656613 487313226 730969839 1461939678