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385929396 = 223210720261
BaseRepresentation
bin10111000000001…
…101000010110100
3222220012020121100
4113000031002310
51242244220041
6102143450100
712364226406
oct2700150264
9886166540
10385929396
11188935516
12a92b6930
1361c55cb8
1439380b76
1523d346b6
hex1700d0b4

385929396 has 18 divisors (see below), whose sum is σ = 975543842. Its totient is φ = 128643120.

The previous prime is 385929391. The next prime is 385929403. The reversal of 385929396 is 693929583.

385929396 is a `hidden beast` number, since 385 + 92 + 93 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 375816996 + 10112400 = 19386^2 + 3180^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385929391) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5360095 + ... + 5360166.

Almost surely, 2385929396 is an apocalyptic number.

385929396 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

385929396 is an abundant number, since it is smaller than the sum of its proper divisors (589614446).

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

385929396 is a wasteful number, since it uses less digits than its factorization.

385929396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10720271 (or 10720266 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The square root of 385929396 is about 19645.0857977256. The cubic root of 385929396 is about 728.0635460571.

The spelling of 385929396 in words is "three hundred eighty-five million, nine hundred twenty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 10720261 21440522 32160783 42881044 64321566 96482349 128643132 192964698 385929396