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7428248550 = 2325219868801
BaseRepresentation
bin1101110101100001…
…00001001111100110
3201011200120010100200
412322300201033212
5110203112423200
63225033051330
7352036033212
oct67260411746
921150503320
107428248550
113172064098
121533856b46
13914c58258
14506795942
152d720c800
hex1bac213e6

7428248550 has 72 divisors (see below), whose sum is σ = 21007632360. Its totient is φ = 1876608000.

The previous prime is 7428248539. The next prime is 7428248561. The reversal of 7428248550 is 558428247.

7428248550 is a `hidden beast` number, since 7 + 42 + 82 + 485 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (7428248539) and next prime (7428248561).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 7428248496 and 7428248505.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 425851 + ... + 442950.

Almost surely, 27428248550 is an apocalyptic number.

7428248550 is an abundant number, since it is smaller than the sum of its proper divisors (13579383810).

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

7428248550 is a wasteful number, since it uses less digits than its factorization.

7428248550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868838 (or 868830 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 7428248550 is about 86187.2876357065. The cubic root of 7428248550 is about 1951.1716430260.

The spelling of 7428248550 in words is "seven billion, four hundred twenty-eight million, two hundred forty-eight thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 855 950 1425 1710 2850 4275 8550 868801 1737602 2606403 4344005 5212806 7819209 8688010 13032015 15638418 16507219 21720025 26064030 33014438 39096045 43440050 49521657 65160075 78192090 82536095 99043314 130320150 148564971 165072190 195480225 247608285 297129942 390960450 412680475 495216570 742824855 825360950 1238041425 1485649710 2476082850 3714124275 7428248550