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4857672624 = 243728832339
BaseRepresentation
bin1001000011000101…
…00011001110110000
3110112112120100002220
410201202203032300
534422031010444
62122004441040
7231243351600
oct44142431660
913475510086
104857672624
112073036382
12b369a9180
135c55180cc
14341212c00
151d66e0619
hex1218a33b0

4857672624 has 120 divisors (see below), whose sum is σ = 14620582080. Its totient is φ = 1385741952.

The previous prime is 4857672607. The next prime is 4857672629. The reversal of 4857672624 is 4262767584.

It is not an unprimeable number, because it can be changed into a prime (4857672629) 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 23 ways as a sum of consecutive naturals, for example, 2075647 + ... + 2077985.

It is an arithmetic number, because the mean of its divisors is an integer number (121838184).

Almost surely, 24857672624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4857672624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7310291040).

4857672624 is an abundant number, since it is smaller than the sum of its proper divisors (9762909456).

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

4857672624 is a wasteful number, since it uses less digits than its factorization.

4857672624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3234 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 51.

The square root of 4857672624 is about 69697.0058467363. The cubic root of 4857672624 is about 1693.5944205821.

The spelling of 4857672624 in words is "four billion, eight hundred fifty-seven million, six hundred seventy-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 883 1176 1766 2339 2352 2649 3532 4678 5298 6181 7017 7064 9356 10596 12362 14034 14128 16373 18543 18712 21192 24724 28068 32746 37086 37424 42384 43267 49119 49448 56136 65492 74172 86534 98238 98896 112272 114611 129801 130984 148344 173068 196476 229222 259602 261968 296688 343833 346136 392952 458444 519204 687666 692272 785904 916888 1038408 1375332 1833776 2065337 2076816 2750664 4130674 5501328 6196011 8261348 12392022 14457359 16522696 24784044 28914718 33045392 43372077 49568088 57829436 86744154 99136176 101201513 115658872 173488308 202403026 231317744 303604539 346976616 404806052 607209078 693953232 809612104 1214418156 1619224208 2428836312 4857672624