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396059616 = 25322575351
BaseRepresentation
bin10111100110110…
…110001111100000
31000121020220122200
4113212312033200
51302342401431
6103144533200
712546310521
oct2746661740
91017226580
10396059616
111936244a7
12b0781200
1364091c04
143a85a848
1524b85ee6
hex179b63e0

396059616 has 72 divisors (see below), whose sum is σ = 1130888304. Its totient is φ = 131481600.

The previous prime is 396059603. The next prime is 396059639. The reversal of 396059616 is 616950693.

396059616 is a `hidden beast` number, since 39 + 605 + 9 + 6 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71341 + ... + 76691.

It is an arithmetic number, because the mean of its divisors is an integer number (15706782).

Almost surely, 2396059616 is an apocalyptic number.

396059616 is a gapful number since it is divisible by the number (36) 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 396059616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565444152).

396059616 is an abundant number, since it is smaller than the sum of its proper divisors (734828688).

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

396059616 is a wasteful number, since it uses less digits than its factorization.

396059616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5624 (or 5613 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 396059616 is about 19901.2465941207. The cubic root of 396059616 is about 734.3788949750.

The spelling of 396059616 in words is "three hundred ninety-six million, fifty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 257 288 514 771 1028 1542 2056 2313 3084 4112 4626 5351 6168 8224 9252 10702 12336 16053 18504 21404 24672 32106 37008 42808 48159 64212 74016 85616 96318 128424 171232 192636 256848 385272 513696 770544 1375207 1541088 2750414 4125621 5500828 8251242 11001656 12376863 16502484 22003312 24753726 33004968 44006624 49507452 66009936 99014904 132019872 198029808 396059616