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7290225280 = 27513876229
BaseRepresentation
bin1101100101000100…
…00000001010000000
3200211001211211000201
412302202000022000
5104412244202110
63203222454544
7345441615052
oct66242001200
920731754021
107290225280
113101162178
1214b5594454
138c2490890
144d23078d2
152ca046b3a
hex1b2880280

7290225280 has 64 divisors (see below), whose sum is σ = 18768846600. Its totient is φ = 2691772416.

The previous prime is 7290225253. The next prime is 7290225347. The reversal of 7290225280 is 825220927.

It can be written as a sum of positive squares in 4 ways, for example, as 6155343936 + 1134881344 = 78456^2 + 33688^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 429795 + ... + 446434.

Almost surely, 27290225280 is an apocalyptic number.

It is an amenable number.

7290225280 is an abundant number, since it is smaller than the sum of its proper divisors (11478621320).

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

7290225280 is a wasteful number, since it uses less digits than its factorization.

7290225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876261 (or 876249 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 7290225280 is about 85382.8160697456. The cubic root of 7290225280 is about 1939.0111941171.

The spelling of 7290225280 in words is "seven billion, two hundred ninety million, two hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 876229 1752458 3504916 4381145 7009832 8762290 11390977 14019664 17524580 22781954 28039328 35049160 45563908 56078656 56954885 70098320 91127816 112157312 113909770 140196640 182255632 227819540 280393280 364511264 455639080 560786560 729022528 911278160 1458045056 1822556320 3645112640 7290225280