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606775968 = 253317109379
BaseRepresentation
bin100100001010101…
…010101010100000
31120021202102011000
4210022222222200
52220313312333
6140113152000
721015340101
oct4412525240
91507672130
10606775968
11291566847
1214b25b600
139892bb46
145a82c3a8
153840a713
hex242aaaa0

606775968 has 192 divisors, whose sum is σ = 1896048000. Its totient is φ = 188116992.

The previous prime is 606775943. The next prime is 606775973. The reversal of 606775968 is 869577606.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1600803 + ... + 1601181.

It is an arithmetic number, because the mean of its divisors is an integer number (9875250).

Almost surely, 2606775968 is an apocalyptic number.

606775968 is a gapful number since it is divisible by the number (68) 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 606775968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948024000).

606775968 is an abundant number, since it is smaller than the sum of its proper divisors (1289272032).

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

606775968 is a wasteful number, since it uses less digits than its factorization.

606775968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 606775968 is about 24632.8229807304. The cubic root of 606775968 is about 846.5958279405.

The spelling of 606775968 in words is "six hundred six million, seven hundred seventy-five thousand, nine hundred sixty-eight".