Search a number
-
+
486289609800 = 233528917352639
BaseRepresentation
bin1110001001110010001…
…11101001010001001000
31201111012100200201121220
413010321013221101020
530431410120003200
61011222014002040
750063465324301
oct7047107512110
91644170621556
10486289609800
11178263897405
127a2b54a6320
1336b1a83c657
14197723b77a8
15c9b215a4a0
hex71391e9448

486289609800 has 192 divisors, whose sum is σ = 1533276864000. Its totient is φ = 127476602880.

The previous prime is 486289609789. The next prime is 486289609801. The reversal of 486289609800 is 8906982684.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (486289609801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9211881 + ... + 9264519.

It is an arithmetic number, because the mean of its divisors is an integer number (7985817000).

Almost surely, 2486289609800 is an apocalyptic number.

486289609800 is a gapful number since it is divisible by the number (40) 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 486289609800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766638432000).

486289609800 is an abundant number, since it is smaller than the sum of its proper divisors (1046987254200).

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

486289609800 is a wasteful number, since it uses less digits than its factorization.

486289609800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52920 (or 52911 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 486289609800 in words is "four hundred eighty-six billion, two hundred eighty-nine million, six hundred nine thousand, eight hundred".