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5286306240 = 26345203947
BaseRepresentation
bin1001110110001011…
…01010000111000000
3111122102010011220000
410323011222013000
541311243244430
62232315520000
7244666601355
oct47305520700
914572104800
105286306240
112272a89136
121036459000
13663273777
1438210c62c
1520e15ce60
hex13b16a1c0

5286306240 has 140 divisors (see below), whose sum is σ = 18804413496. Its totient is φ = 1409674752.

The previous prime is 5286306239. The next prime is 5286306257. The reversal of 5286306240 is 426036825.

5286306240 is a `hidden beast` number, since 5 + 28 + 6 + 3 + 0 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5286306195 and 5286306204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76054 + ... + 127893.

Almost surely, 25286306240 is an apocalyptic number.

It is an amenable number.

5286306240 is an abundant number, since it is smaller than the sum of its proper divisors (13518107256).

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

5286306240 is a wasteful number, since it uses less digits than its factorization.

5286306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203976 (or 203957 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5286306240 is about 72706.9889350398. The cubic root of 5286306240 is about 1742.0105178670.

The spelling of 5286306240 in words is "five billion, two hundred eighty-six million, three hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 203947 407894 611841 815788 1019735 1223682 1631576 1835523 2039470 2447364 3059205 3263152 3671046 4078940 4894728 5506569 6118410 6526304 7342092 8157880 9177615 9789456 11013138 12236820 13052608 14684184 16315760 16519707 18355230 19578912 22026276 24473640 27532845 29368368 32631520 33039414 36710460 39157824 44052552 48947280 55065690 58736736 65263040 66078828 73420920 82598535 88105104 97894560 110131380 117473472 132157656 146841840 165197070 176210208 195789120 220262760 264315312 293683680 330394140 352420416 440525520 528630624 587367360 660788280 881051040 1057261248 1321576560 1762102080 2643153120 5286306240