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4834774384 = 241131907977
BaseRepresentation
bin1001000000010110…
…01100110101110000
3110110221110222121221
410200023030311300
534400200240014
62115425554424
7230544622066
oct44013146560
913427428557
104834774384
112061116610
12b2b1a5a14
135c085b75b
1433c172036
151d46bab24
hex1202ccd70

4834774384 has 80 divisors (see below), whose sum is σ = 10571037696. Its totient is φ = 2122214400.

The previous prime is 4834774367. The next prime is 4834774387.

4834774384 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4834774387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4948104 + ... + 4949080.

Almost surely, 24834774384 is an apocalyptic number.

4834774384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4834774384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285518848).

4834774384 is an abundant number, since it is smaller than the sum of its proper divisors (5736263312).

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

4834774384 is a wasteful number, since it uses less digits than its factorization.

4834774384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1928 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 52.

The square root of 4834774384 is about 69532.5419066497. The cubic root of 4834774384 is about 1690.9291232122.

The spelling of 4834774384 in words is "four billion, eight hundred thirty-four million, seven hundred seventy-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 907 977 1364 1814 1954 2728 3628 3908 5456 7256 7816 9977 10747 14512 15632 19954 21494 28117 30287 39908 42988 56234 60574 79816 85976 112468 121148 159632 171952 224936 242296 309287 333157 449872 484592 618574 666314 886139 1237148 1332628 1772278 2474296 2665256 3544556 4948592 5330512 7089112 9747529 14178224 19495058 27470309 38990116 54940618 77980232 109881236 155960464 219762472 302173399 439524944 604346798 1208693596 2417387192 4834774384