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5276838240 = 2532510933619
BaseRepresentation
bin1001110101000011…
…00010100101100000
3111121202022011020100
410322201202211200
541301332310430
62231340542400
7244523246022
oct47241424540
914552264210
105276838240
112268701743
121033251a00
1366130a0bb
14380b66012
1520d3dc960
hex13a862960

5276838240 has 144 divisors (see below), whose sum is σ = 18172954800. Its totient is φ = 1394205696.

The previous prime is 5276838221. The next prime is 5276838241. The reversal of 5276838240 is 428386725.

5276838240 is a `hidden beast` number, since 527 + 6 + 8 + 3 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×52768382402 = 55690043622252595200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5276838241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140151 + ... + 173769.

It is an arithmetic number, because the mean of its divisors is an integer number (126201075).

Almost surely, 25276838240 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 5276838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9086477400).

5276838240 is an abundant number, since it is smaller than the sum of its proper divisors (12896116560).

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

5276838240 is a wasteful number, since it uses less digits than its factorization.

5276838240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33749 (or 33738 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5276838240 is about 72641.8490954078. The cubic root of 5276838240 is about 1740.9698912990.

The spelling of 5276838240 in words is "five billion, two hundred seventy-six million, eight hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 109 120 144 160 180 218 240 288 327 360 436 480 545 654 720 872 981 1090 1308 1440 1635 1744 1962 2180 2616 3270 3488 3924 4360 4905 5232 6540 7848 8720 9810 10464 13080 15696 17440 19620 26160 31392 33619 39240 52320 67238 78480 100857 134476 156960 168095 201714 268952 302571 336190 403428 504285 537904 605142 672380 806856 1008570 1075808 1210284 1344760 1512855 1613712 2017140 2420568 2689520 3025710 3227424 3664471 4034280 4841136 5379040 6051420 7328942 8068560 9682272 10993413 12102840 14657884 16137120 18322355 21986826 24205680 29315768 32980239 36644710 43973652 48411360 54967065 58631536 65960478 73289420 87947304 109934130 117263072 131920956 146578840 164901195 175894608 219868260 263841912 293157680 329802390 351789216 439736520 527683824 586315360 659604780 879473040 1055367648 1319209560 1758946080 2638419120 5276838240