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396288693 = 3438912577
BaseRepresentation
bin10111100111101…
…110001010110101
31000121200112220000
4113213232022311
51302422214233
6103153501513
712551253423
oct2747561265
91017615800
10396288693
11193770619
12b0871899
1364142268
143a8ba113
1524bcdd13
hex179ee2b5

396288693 has 20 divisors (see below), whose sum is σ = 593555820. Its totient is φ = 263492352.

The previous prime is 396288691. The next prime is 396288707. The reversal of 396288693 is 396882693.

396288693 is a `hidden beast` number, since 3 + 9 + 628 + 8 + 6 + 9 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 241584849 + 154703844 = 15543^2 + 12438^2 .

It is not a de Polignac number, because 396288693 - 21 = 396288691 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396288691) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25221 + ... + 37797.

It is an arithmetic number, because the mean of its divisors is an integer number (29677791).

Almost surely, 2396288693 is an apocalyptic number.

It is an amenable number.

396288693 is a deficient number, since it is larger than the sum of its proper divisors (197267127).

396288693 is a wasteful number, since it uses less digits than its factorization.

396288693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12978 (or 12969 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 396288693 is about 19907.0011051389. The cubic root of 396288693 is about 734.5204535381.

The spelling of 396288693 in words is "three hundred ninety-six million, two hundred eighty-eight thousand, six hundred ninety-three".

Divisors: 1 3 9 27 81 389 1167 3501 10503 12577 31509 37731 113193 339579 1018737 4892453 14677359 44032077 132096231 396288693