Search a number
-
+
649996200 = 233252779653
BaseRepresentation
bin100110101111100…
…010011110101000
31200022002020011100
4212233202132220
52312344334300
6144255401400
722051606440
oct4657423650
91608066140
10649996200
113039a6847
12161823260
13a4882349
146247d120
153c0e6700
hex26be27a8

649996200 has 288 divisors, whose sum is σ = 2530195200. Its totient is φ = 146465280.

The previous prime is 649996199. The next prime is 649996201. The reversal of 649996200 is 2699946.

It is an interprime number because it is at equal distance from previous prime (649996199) and next prime (649996201).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (649996201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 995074 + ... + 995726.

It is an arithmetic number, because the mean of its divisors is an integer number (8785400).

Almost surely, 2649996200 is an apocalyptic number.

649996200 is a gapful number since it is divisible by the number (60) 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 649996200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265097600).

649996200 is an abundant number, since it is smaller than the sum of its proper divisors (1880199000).

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

649996200 is a wasteful number, since it uses less digits than its factorization.

649996200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 649996200 is about 25495.0230437237. The cubic root of 649996200 is about 866.2374172819.

The spelling of 649996200 in words is "six hundred forty-nine million, nine hundred ninety-six thousand, two hundred".