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4832354385 = 325107385653
BaseRepresentation
bin1001000000000011…
…11110000001010001
3110110202221001000100
410200001332001101
534344040320020
62115302043013
7230515222515
oct44001760121
913422831010
104832354385
11205a813411
12b2a419469
135c01c20c1
1433bb02145
151d438da90
hex12007e051

4832354385 has 12 divisors (see below), whose sum is σ = 8376081012. Its totient is φ = 2577255648.

The previous prime is 4832354381. The next prime is 4832354411. The reversal of 4832354385 is 5834532384.

4832354385 is a `hidden beast` number, since 4 + 8 + 3 + 23 + 543 + 85 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 901440576 + 3930913809 = 30024^2 + 62697^2 .

It is not a de Polignac number, because 4832354385 - 22 = 4832354381 is a prime.

It is a super-3 number, since 3×48323543853 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 107385653 = 4832354385 / (4 + 8 + 3 + 2 + 3 + 5 + 4 + 3 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 4832354385.

It is not an unprimeable number, because it can be changed into a prime (4832354381) 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 11 ways as a sum of consecutive naturals, for example, 53692782 + ... + 53692871.

It is an arithmetic number, because the mean of its divisors is an integer number (698006751).

Almost surely, 24832354385 is an apocalyptic number.

4832354385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4832354385 is a deficient number, since it is larger than the sum of its proper divisors (3543726627).

4832354385 is a wasteful number, since it uses less digits than its factorization.

4832354385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107385664 (or 107385661 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 4832354385 is about 69515.1378118464. The cubic root of 4832354385 is about 1690.6469501195.

The spelling of 4832354385 in words is "four billion, eight hundred thirty-two million, three hundred fifty-four thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 107385653 322156959 536928265 966470877 1610784795 4832354385