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385828583 = 7172269709
BaseRepresentation
bin10110111111110…
…100011011100111
3222220000010022112
4112333310123213
51242233003313
6102141351235
712363326450
oct2677643347
9886003275
10385828583
111888767a8
12a926851b
1361c1c14a
1439356127
1523d148a8
hex16ff46e7

385828583 has 24 divisors (see below), whose sum is σ = 470815200. Its totient is φ = 309662208.

The previous prime is 385828577. The next prime is 385828601.

385828583 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 385828583 - 24 = 385828567 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385828523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543833 + ... + 544541.

It is an arithmetic number, because the mean of its divisors is an integer number (19617300).

Almost surely, 2385828583 is an apocalyptic number.

385828583 is a deficient number, since it is larger than the sum of its proper divisors (84986617).

385828583 is a wasteful number, since it uses less digits than its factorization.

385828583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1002 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 50.

The square root of 385828583 is about 19642.5197721677. The cubic root of 385828583 is about 728.0001452874. Note that the first 3 decimals are identical.

The spelling of 385828583 in words is "three hundred eighty-five million, eight hundred twenty-eight thousand, five hundred eighty-three".

Divisors: 1 7 17 119 269 289 709 1883 2023 4573 4963 12053 32011 77741 84371 190721 204901 544187 1335047 1434307 3242257 22695799 55118369 385828583