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5264284160 = 29523293083
BaseRepresentation
bin1001110011100011…
…01001101000000000
3111120212200100021102
410321301221220000
541240124043120
62230211513532
7244311451142
oct47161515000
914525610242
105264284160
112261607673
12102abb88a8
1365b832b55
1437d218c92
1520c25cd75
hex139c69a00

5264284160 has 160 divisors (see below), whose sum is σ = 13629306240. Its totient is φ = 1944076288.

The previous prime is 5264284139. The next prime is 5264284169. The reversal of 5264284160 is 614824625.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (5264284169) 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 15 ways as a sum of consecutive naturals, for example, 1705979 + ... + 1709061.

It is an arithmetic number, because the mean of its divisors is an integer number (85183164).

Almost surely, 25264284160 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 5264284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6814653120).

5264284160 is an abundant number, since it is smaller than the sum of its proper divisors (8365022080).

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

5264284160 is a wasteful number, since it uses less digits than its factorization.

5264284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 5264284160 is about 72555.3868434315. The cubic root of 5264284160 is about 1739.5881528453.

The spelling of 5264284160 in words is "five billion, two hundred sixty-four million, two hundred eighty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 29 32 40 46 58 64 80 92 115 116 128 145 160 184 230 232 256 290 320 368 460 464 512 580 640 667 736 920 928 1160 1280 1334 1472 1840 1856 2320 2560 2668 2944 3083 3335 3680 3712 4640 5336 5888 6166 6670 7360 7424 9280 10672 11776 12332 13340 14720 14848 15415 18560 21344 24664 26680 29440 30830 37120 42688 49328 53360 58880 61660 70909 74240 85376 89407 98656 106720 123320 141818 170752 178814 197312 213440 246640 283636 341504 354545 357628 394624 426880 447035 493280 567272 709090 715256 789248 853760 894070 986560 1134544 1418180 1430512 1578496 1707520 1788140 1973120 2056361 2269088 2836360 2861024 3576280 3946240 4112722 4538176 5672720 5722048 7152560 7892480 8225444 9076352 10281805 11345440 11444096 14305120 16450888 18152704 20563610 22690880 22888192 28610240 32901776 36305408 41127220 45381760 45776384 57220480 65803552 82254440 90763520 114440960 131607104 164508880 181527040 228881920 263214208 329017760 526428416 658035520 1052856832 1316071040 2632142080 5264284160