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2752557056 = 21219113313
BaseRepresentation
bin1010010000010000…
…1011000000000000
321002211102101102122
42210010023000000
521114123311211
61133044503412
7125132230454
oct24404130000
97084371378
102752557056
111192823947
126499aab68
1334b3589b2
141c17d4664
151119b76db
hexa410b000

2752557056 has 104 divisors (see below), whose sum is σ = 5864100720. Its totient is φ = 1288175616.

The previous prime is 2752557043. The next prime is 2752557077. The reversal of 2752557056 is 6507552572.

It is a junction number, because it is equal to n+sod(n) for n = 2752556998 and 2752557016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8793956 + ... + 8794268.

Almost surely, 22752557056 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 2752557056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932050360).

2752557056 is an abundant number, since it is smaller than the sum of its proper divisors (3111543664).

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

2752557056 is a wasteful number, since it uses less digits than its factorization.

2752557056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 44.

The square root of 2752557056 is about 52464.8173159881. The cubic root of 2752557056 is about 1401.4537715019.

The spelling of 2752557056 in words is "two billion, seven hundred fifty-two million, five hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 113 128 152 226 256 304 313 452 512 608 626 904 1024 1216 1252 1808 2048 2147 2432 2504 3616 4096 4294 4864 5008 5947 7232 8588 9728 10016 11894 14464 17176 19456 20032 23788 28928 34352 35369 38912 40064 47576 57856 68704 70738 77824 80128 95152 115712 137408 141476 160256 190304 231424 274816 282952 320512 380608 462848 549632 565904 641024 672011 761216 1099264 1131808 1282048 1344022 1522432 2198528 2263616 2688044 3044864 4397056 4527232 5376088 6089728 8794112 9054464 10752176 12179456 18108928 21504352 24358912 36217856 43008704 72435712 86017408 144871424 172034816 344069632 688139264 1376278528 2752557056