Search a number
-
+
5275305576 = 2333236171721
BaseRepresentation
bin1001110100110111…
…01100011001101000
3111121122102021211000
410322123230121220
541300434234301
62231244035000
7244504233432
oct47233543150
914548367730
105275305576
112267855182
121032832a60
13660bc15b8
14380887652
1520d1d8786
hex13a6ec668

5275305576 has 128 divisors (see below), whose sum is σ = 15324422400. Its totient is φ = 1678279680.

The previous prime is 5275305571. The next prime is 5275305583. The reversal of 5275305576 is 6755035725.

5275305576 is a `hidden beast` number, since 5 + 2 + 75 + 3 + 0 + 5 + 576 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5275305571) by changing a digit.

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, 3064396 + ... + 3066116.

It is an arithmetic number, because the mean of its divisors is an integer number (119722050).

Almost surely, 25275305576 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 5275305576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7662211200).

5275305576 is an abundant number, since it is smaller than the sum of its proper divisors (10049116824).

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

5275305576 is a wasteful number, since it uses less digits than its factorization.

5275305576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 45.

The square root of 5275305576 is about 72631.2988731442. The cubic root of 5275305576 is about 1740.8013193791.

The spelling of 5275305576 in words is "five billion, two hundred seventy-five million, three hundred five thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 617 621 828 1234 1242 1656 1721 1851 2468 2484 3442 3702 4936 4968 5163 5553 6884 7404 10326 11106 13768 14191 14808 15489 16659 20652 22212 28382 30978 33318 39583 41304 42573 44424 46467 56764 61956 66636 79166 85146 92934 113528 118749 123912 127719 133272 158332 170292 185868 237498 255438 316664 340584 356247 371736 383157 474996 510876 712494 766314 949992 1021752 1061857 1068741 1424988 1532628 2123714 2137482 2849976 3065256 3185571 4247428 4274964 6371142 8494856 8549928 9556713 12742284 19113426 24422711 25484568 28670139 38226852 48845422 57340278 73268133 76453704 97690844 114680556 146536266 195381688 219804399 229361112 293072532 439608798 586145064 659413197 879217596 1318826394 1758435192 2637652788 5275305576