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4878752256 = 2933750417
BaseRepresentation
bin1001000101100101…
…11101101000000000
3110121000020021221000
410202302331220000
534442430033011
62124040332000
7231620465340
oct44262755000
913530207830
104878752256
112083a23864
12b41a74000
135c99b8a71
14343d3cd20
151d84a6356
hex122cbda00

4878752256 has 160 divisors (see below), whose sum is σ = 16504836480. Its totient is φ = 1393901568.

The previous prime is 4878752251. The next prime is 4878752311. The reversal of 4878752256 is 6522578784.

4878752256 is a `hidden beast` number, since 48 + 78 + 7 + 522 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4878752251) 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, 71560 + ... + 121976.

It is an arithmetic number, because the mean of its divisors is an integer number (103155228).

Almost surely, 24878752256 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 4878752256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8252418240).

4878752256 is an abundant number, since it is smaller than the sum of its proper divisors (11626084224).

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

4878752256 is an equidigital number, since it uses as much as digits as its factorization.

4878752256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50451 (or 50429 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The square root of 4878752256 is about 69848.0655136561. The cubic root of 4878752256 is about 1696.0406421968.

The spelling of 4878752256 in words is "four billion, eight hundred seventy-eight million, seven hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5376 6048 6912 8064 10752 12096 13824 16128 24192 32256 48384 50417 96768 100834 151251 201668 302502 352919 403336 453753 605004 705838 806672 907506 1058757 1210008 1361259 1411676 1613344 1815012 2117514 2420016 2722518 2823352 3176271 3226688 3630024 4235028 4840032 5445036 5646704 6352542 6453376 7260048 8470056 9528813 9680064 10890072 11293408 12705084 12906752 14520096 16940112 19057626 19360128 21780144 22586816 25410168 25813504 29040192 33880224 38115252 38720256 43560288 45173632 50820336 58080384 67760448 76230504 77440512 87120576 90347264 101640672 116160768 135520896 152461008 174241152 180694528 203281344 232321536 271041792 304922016 348482304 406562688 542083584 609844032 696964608 813125376 1219688064 1626250752 2439376128 4878752256