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649989900 = 22335272173
BaseRepresentation
bin100110101111100…
…000111100001100
31200022001220112000
4212233200330030
52312344134100
6144255312300
722051552200
oct4657407414
91608056460
10649989900
113039a203a
1216181b690
13a487c511
146247ab00
153c0e4900
hex26be0f0c

649989900 has 432 divisors, whose sum is σ = 2582647200. Its totient is φ = 139829760.

The previous prime is 649989887. The next prime is 649989941. The reversal of 649989900 is 9989946.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

649989900 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38234692 + ... + 38234708.

It is an arithmetic number, because the mean of its divisors is an integer number (5978350).

Almost surely, 2649989900 is an apocalyptic number.

649989900 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 649989900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291323600).

649989900 is an abundant number, since it is smaller than the sum of its proper divisors (1932657300).

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

649989900 is a wasteful number, since it uses less digits than its factorization.

649989900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 649989900 is about 25494.8994898980. The cubic root of 649989900 is about 866.2346186433.

The spelling of 649989900 in words is "six hundred forty-nine million, nine hundred eighty-nine thousand, nine hundred".