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385611769 = 7322692
BaseRepresentation
bin10110111110111…
…111011111111001
3222212121002220101
4112332333133321
51242204034034
6102132555401
712361434364
oct2676773771
9885532811
10385611769
11188738914
12a9182b61
1361b7455a
14392db0db
1523cc0514
hex16fbf7f9

385611769 has 9 divisors (see below), whose sum is σ = 392425293. Its totient is φ = 378915552.

The previous prime is 385611757. The next prime is 385611781. The reversal of 385611769 is 967116583.

It is a happy number.

The square root of 385611769 is 19637.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (385611757) and next prime (385611781).

It can be written as a sum of positive squares in 4 ways, for example, as 75429225 + 310182544 = 8685^2 + 17612^2 .

It is not a de Polignac number, because 385611769 - 213 = 385603577 is a prime.

It is a super-2 number, since 2×3856117692 = 297392872782618722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385617769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1433367 + ... + 1433635.

Almost surely, 2385611769 is an apocalyptic number.

385611769 is the 19637-th square number.

385611769 is the 9819-th centered octagonal number.

It is an amenable number.

385611769 is a deficient number, since it is larger than the sum of its proper divisors (6813524).

385611769 is an frugal number, since it uses more digits than its factorization.

385611769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 342 counting only the distinct ones).

The product of its digits is 272160, while the sum is 46.

The cubic root of 385611769 is about 727.8637546677.

It can be divided in two parts, 3856 and 11769, that added together give a 6-th power (15625 = 56).

The spelling of 385611769 in words is "three hundred eighty-five million, six hundred eleven thousand, seven hundred sixty-nine".

Divisors: 1 73 269 5329 19637 72361 1433501 5282353 385611769