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601189968 = 24314984059
BaseRepresentation
bin100011110101010…
…110111001010000
31112220020121121010
4203311112321100
52212401034333
6135353330520
720620013301
oct4365267120
91486217533
10601189968
112893a0a15
12149406a40
1397724412
1459bb67a8
1537ba5563
hex23d56e50

601189968 has 40 divisors (see below), whose sum is σ = 1563516000. Its totient is φ = 199049344.

The previous prime is 601189951. The next prime is 601189969. The reversal of 601189968 is 869981106.

601189968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6011899682 = 722858755247682048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601189969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34878 + ... + 49181.

It is an arithmetic number, because the mean of its divisors is an integer number (39087900).

Almost surely, 2601189968 is an apocalyptic number.

It is an amenable number.

601189968 is an abundant number, since it is smaller than the sum of its proper divisors (962326032).

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

601189968 is a wasteful number, since it uses less digits than its factorization.

601189968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84219 (or 84213 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 601189968 is about 24519.1755163178. The cubic root of 601189968 is about 843.9898848020.

The spelling of 601189968 in words is "six hundred one million, one hundred eighty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 149 298 447 596 894 1192 1788 2384 3576 7152 84059 168118 252177 336236 504354 672472 1008708 1344944 2017416 4034832 12524791 25049582 37574373 50099164 75148746 100198328 150297492 200396656 300594984 601189968