Search a number
-
+
486990000 = 2432547773
BaseRepresentation
bin11101000001101…
…110000010110000
31020221100122200200
4131001232002300
51444132140000
6120153515200
715032226630
oct3501560260
91227318620
10486990000
1122a990882
12117112b00
1379b7b483
144896a6c0
152cb48500
hex1d06e0b0

486990000 has 300 divisors, whose sum is σ = 1948888656. Its totient is φ = 111168000.

The previous prime is 486989989. The next prime is 486990001. The reversal of 486990000 is 99684.

It is a tau number, because it is divible by the number of its divisors (300).

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 (486990001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 629614 + ... + 630386.

Almost surely, 2486990000 is an apocalyptic number.

486990000 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 486990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974444328).

486990000 is an abundant number, since it is smaller than the sum of its proper divisors (1461898656).

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

486990000 is a wasteful number, since it uses less digits than its factorization.

486990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 486990000 is about 22067.8499179236. The cubic root of 486990000 is about 786.7559109068.

The spelling of 486990000 in words is "four hundred eighty-six million, nine hundred ninety thousand".