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2872549872 = 2433411571033
BaseRepresentation
bin1010101100110111…
…1010000111110000
321102012012122122000
42223031322013300
521340333043442
61153012414000
7131120161653
oct25315720760
97365178560
102872549872
111244530265
12682017300
1336a17c56a
141d370b89a
1511c2bad4c
hexab37a1f0

2872549872 has 160 divisors (see below), whose sum is σ = 8508413760. Its totient is φ = 927313920.

The previous prime is 2872549861. The next prime is 2872549877. The reversal of 2872549872 is 2789452782.

2872549872 is a `hidden beast` number, since 2 + 87 + 2 + 5 + 498 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872549877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2780268 + ... + 2781300.

It is an arithmetic number, because the mean of its divisors is an integer number (53177586).

Almost surely, 22872549872 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 2872549872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254206880).

2872549872 is an abundant number, since it is smaller than the sum of its proper divisors (5635863888).

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

2872549872 is a wasteful number, since it uses less digits than its factorization.

2872549872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1236 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 2872549872 is about 53596.1740425564. The cubic root of 2872549872 is about 1421.5294424808.

The spelling of 2872549872 in words is "two billion, eight hundred seventy-two million, five hundred forty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 157 164 216 246 314 328 369 432 471 492 628 656 738 942 984 1033 1107 1256 1413 1476 1884 1968 2066 2214 2512 2826 2952 3099 3768 4132 4239 4428 5652 5904 6198 6437 7536 8264 8478 8856 9297 11304 12396 12874 16528 16956 17712 18594 19311 22608 24792 25748 27891 33912 37188 38622 42353 49584 51496 55782 57933 67824 74376 77244 84706 102992 111564 115866 127059 148752 154488 162181 169412 173799 223128 231732 254118 308976 324362 338824 347598 381177 446256 463464 486543 508236 648724 677648 695196 762354 926928 973086 1016472 1143531 1297448 1390392 1459629 1524708 1946172 2032944 2287062 2594896 2780784 2919258 3049416 3892344 4378887 4574124 5838516 6098832 6649421 7784688 8757774 9148248 11677032 13298842 17515548 18296496 19948263 23354064 26597684 35031096 39896526 53195368 59844789 70062192 79793052 106390736 119689578 159586104 179534367 239379156 319172208 359068734 478758312 718137468 957516624 1436274936 2872549872