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2756415648 = 25374339473
BaseRepresentation
bin1010010001001011…
…1001000010100000
321010002200102102110
42210102321002200
521121120300043
61133303315320
7125210101140
oct24422710240
97102612373
102756415648
111194a19968
1264b14bb40
1334c0aa09c
141c211a920
15111ecab33
hexa44b90a0

2756415648 has 96 divisors (see below), whose sum is σ = 8289219456. Its totient is φ = 785645568.

The previous prime is 2756415583. The next prime is 2756415659. The reversal of 2756415648 is 8465146572.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×27564156483 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2756415597 and 2756415606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286240 + ... + 295712.

It is an arithmetic number, because the mean of its divisors is an integer number (86346036).

Almost surely, 22756415648 is an apocalyptic number.

2756415648 is a gapful number since it is divisible by the number (28) 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 2756415648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144609728).

2756415648 is an abundant number, since it is smaller than the sum of its proper divisors (5532803808).

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

2756415648 is a wasteful number, since it uses less digits than its factorization.

2756415648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9926 (or 9918 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The square root of 2756415648 is about 52501.5775762976. The cubic root of 2756415648 is about 1402.1083281341.

The spelling of 2756415648 in words is "two billion, seven hundred fifty-six million, four hundred fifteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 433 672 866 1299 1732 2598 3031 3464 5196 6062 6928 9093 9473 10392 12124 13856 18186 18946 20784 24248 28419 36372 37892 41568 48496 56838 66311 72744 75784 96992 113676 132622 145488 151568 198933 227352 265244 290976 303136 397866 454704 530488 795732 909408 1060976 1591464 2121952 3182928 4101809 6365856 8203618 12305427 16407236 24610854 28712663 32814472 49221708 57425326 65628944 86137989 98443416 114850652 131257888 172275978 196886832 229701304 344551956 393773664 459402608 689103912 918805216 1378207824 2756415648