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5352715440 = 243353179939
BaseRepresentation
bin1001111110000101…
…11111010010110000
3111211001002010012000
410333002333102300
541430243343230
62243051134000
7246434221242
oct47702772260
914731063160
105352715440
1122a7517376
121054744300
13673c55a57
1438ac78092
15214dc9b60
hex13f0bf4b0

5352715440 has 160 divisors (see below), whose sum is σ = 19032115200. Its totient is φ = 1381328640.

The previous prime is 5352715439. The next prime is 5352715451. The reversal of 5352715440 is 445172535.

5352715440 is a `hidden beast` number, since 535 + 2 + 71 + 54 + 4 + 0 = 666.

It is a super-2 number, since 2×53527154402 = 57303125163228787200, which contains 22 as substring.

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 = 5352715395 and 5352715404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26991 + ... + 106929.

It is an arithmetic number, because the mean of its divisors is an integer number (118950720).

Almost surely, 25352715440 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 5352715440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9516057600).

5352715440 is an abundant number, since it is smaller than the sum of its proper divisors (13679399760).

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

5352715440 is a wasteful number, since it uses less digits than its factorization.

5352715440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79992 (or 79980 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 5352715440 is about 73162.2542025599. The cubic root of 5352715440 is about 1749.2748494916.

Adding to 5352715440 its reverse (445172535), we get a palindrome (5797887975).

The spelling of 5352715440 in words is "five billion, three hundred fifty-two million, seven hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 620 720 744 837 930 1080 1116 1240 1395 1488 1674 1860 2160 2232 2480 2790 3348 3720 4185 4464 5580 6696 7440 8370 11160 13392 16740 22320 33480 66960 79939 159878 239817 319756 399695 479634 639512 719451 799390 959268 1199085 1279024 1438902 1598780 1918536 2158353 2398170 2478109 2877804 3197560 3597255 3837072 4316706 4796340 4956218 5755608 6395120 7194510 7434327 8633412 9592680 9912436 10791765 11511216 12390545 14389020 14868654 17266824 19185360 19824872 21583530 22302981 24781090 28778040 29737308 34533648 37171635 39649744 43167060 44605962 49562180 57556080 59474616 66908943 74343270 86334120 89211924 99124360 111514905 118949232 133817886 148686540 172668240 178423848 198248720 223029810 267635772 297373080 334544715 356847696 446059620 535271544 594746160 669089430 892119240 1070543088 1338178860 1784238480 2676357720 5352715440