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5282375560 = 2357119717681
BaseRepresentation
bin1001110101101101…
…01010011110001000
3111122010201111000021
410322312222132020
541304242004220
62232055350224
7244621310560
oct47266523610
914563644007
105282375560
112270843a40
121035082374
136624c8617
143817a7da0
1520db334aa
hex13adaa788

5282375560 has 128 divisors (see below), whose sum is σ = 14971703040. Its totient is φ = 1629388800.

The previous prime is 5282375537. The next prime is 5282375597. The reversal of 5282375560 is 655732825.

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 31 ways as a sum of consecutive naturals, for example, 289920 + ... + 307600.

It is an arithmetic number, because the mean of its divisors is an integer number (116966430).

Almost surely, 25282375560 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 5282375560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7485851520).

5282375560 is an abundant number, since it is smaller than the sum of its proper divisors (9689327480).

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

5282375560 is a wasteful number, since it uses less digits than its factorization.

5282375560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17807 (or 17803 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 43.

The square root of 5282375560 is about 72679.9529443986. The cubic root of 5282375560 is about 1741.5786483402.

The spelling of 5282375560 in words is "five billion, two hundred eighty-two million, three hundred seventy-five thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 97 110 140 154 194 220 280 308 385 388 440 485 616 679 770 776 970 1067 1358 1540 1940 2134 2716 3080 3395 3880 4268 5335 5432 6790 7469 8536 10670 13580 14938 17681 21340 27160 29876 35362 37345 42680 59752 70724 74690 88405 123767 141448 149380 176810 194491 247534 298760 353620 388982 495068 618835 707240 777964 972455 990136 1237670 1361437 1555928 1715057 1944910 2475340 2722874 3430114 3889820 4950680 5445748 6807185 6860228 7779640 8575285 10891496 12005399 13614370 13720456 17150570 18865627 24010798 27228740 34301140 37731254 48021596 54457480 60026995 68602280 75462508 94328135 96043192 120053990 132059389 150925016 188656270 240107980 264118778 377312540 480215960 528237556 660296945 754625080 1056475112 1320593890 2641187780 5282375560