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5284475760 = 243531727977
BaseRepresentation
bin1001110101111101…
…01011001101110000
3111122021200011221110
410322332223031300
541310311211020
62232212353320
7244645205604
oct47276531560
914567604843
105284475760
112271a48943
121035915840
13662a82545
14381b93504
1520ddea8e0
hex13afab370

5284475760 has 160 divisors (see below), whose sum is σ = 16950915072. Its totient is φ = 1360465920.

The previous prime is 5284475759. The next prime is 5284475797. The reversal of 5284475760 is 675744825.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5408392 + ... + 5409368.

Almost surely, 25284475760 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 5284475760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8475457536).

5284475760 is an abundant number, since it is smaller than the sum of its proper divisors (11666439312).

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

5284475760 is a wasteful number, since it uses less digits than its factorization.

5284475760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The square root of 5284475760 is about 72694.3997843025. The cubic root of 5284475760 is about 1741.8094270114.

The spelling of 5284475760 in words is "five billion, two hundred eighty-four million, four hundred seventy-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 727 744 930 977 1240 1454 1488 1860 1954 2181 2480 2908 2931 3635 3720 3908 4362 4885 5816 5862 7270 7440 7816 8724 9770 10905 11632 11724 14540 14655 15632 17448 19540 21810 22537 23448 29080 29310 30287 34896 39080 43620 45074 46896 58160 58620 60574 67611 78160 87240 90148 90861 112685 117240 121148 135222 151435 174480 180296 181722 225370 234480 242296 270444 302870 338055 360592 363444 450740 454305 484592 540888 605740 676110 710279 726888 901480 908610 1081776 1211480 1352220 1420558 1453776 1802960 1817220 2130837 2422960 2704440 2841116 3551395 3634440 4261674 5408880 5682232 7102790 7268880 8523348 10654185 11364464 14205580 17046696 21308370 22018649 28411160 34093392 42616740 44037298 56822320 66055947 85233480 88074596 110093245 132111894 170466960 176149192 220186490 264223788 330279735 352298384 440372980 528447576 660559470 880745960 1056895152 1321118940 1761491920 2642237880 5284475760