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5283521520 = 2435191796473
BaseRepresentation
bin1001110101110110…
…00010001111110000
3111122012212200222020
410322323002033300
541310040142040
62232140111440
7244634122554
oct47273021760
914565780866
105283521520
112271456a12
121035535580
1366280a0c4
143819c5864
1520dcaccd0
hex13aec23f0

5283521520 has 160 divisors (see below), whose sum is σ = 17339961600. Its totient is φ = 1327122432.

The previous prime is 5283521489. The next prime is 5283521543. The reversal of 5283521520 is 251253825.

It is a super-2 number, since 2×52835215202 = 55831199304606220800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 813004 + ... + 819476.

It is an arithmetic number, because the mean of its divisors is an integer number (108374760).

Almost surely, 25283521520 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 5283521520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8669980800).

5283521520 is an abundant number, since it is smaller than the sum of its proper divisors (12056440080).

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

5283521520 is a wasteful number, since it uses less digits than its factorization.

5283521520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6687 (or 6681 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 5283521520 is about 72687.8361213209. The cubic root of 5283521520 is about 1741.7045787504.

The spelling of 5283521520 in words is "five billion, two hundred eighty-three million, five hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 179 190 228 240 285 304 358 380 456 537 570 716 760 895 912 1074 1140 1432 1520 1790 2148 2280 2685 2864 3401 3580 4296 4560 5370 6473 6802 7160 8592 10203 10740 12946 13604 14320 17005 19419 20406 21480 25892 27208 32365 34010 38838 40812 42960 51015 51784 54416 64730 68020 77676 81624 97095 102030 103568 122987 129460 136040 155352 163248 194190 204060 245974 258920 272080 310704 368961 388380 408120 491948 517840 614935 737922 776760 816240 983896 1158667 1229870 1475844 1553520 1844805 1967792 2317334 2459740 2951688 3476001 3689610 4634668 4919480 5793335 5903376 6952002 7379220 9269336 9838960 11586670 13904004 14758440 17380005 18538672 22014673 23173340 27808008 29516880 34760010 44029346 46346680 55616016 66044019 69520020 88058692 92693360 110073365 132088038 139040040 176117384 220146730 264176076 278080080 330220095 352234768 440293460 528352152 660440190 880586920 1056704304 1320880380 1761173840 2641760760 5283521520