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5293028496 = 2437294113249
BaseRepresentation
bin1001110110111110…
…10011010010010000
3111122212202201002110
410323133103102100
541320003402441
62233115545320
7245110666650
oct47337232220
914585681073
105293028496
11227685a718
12103875b240
13664788432
14382d7c360
1520ea39b16
hex13b7d3490

5293028496 has 160 divisors (see below), whose sum is σ = 16561440000. Its totient is φ = 1424424960.

The previous prime is 5293028483. The next prime is 5293028497. The reversal of 5293028496 is 6948203925.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5293028497) 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, 392880 + ... + 406128.

It is an arithmetic number, because the mean of its divisors is an integer number (103509000).

Almost surely, 25293028496 is an apocalyptic number.

5293028496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5293028496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8280720000).

5293028496 is an abundant number, since it is smaller than the sum of its proper divisors (11268411504).

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

5293028496 is a wasteful number, since it uses less digits than its factorization.

5293028496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13337 (or 13331 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 5293028496 is about 72753.2026511548. The cubic root of 5293028496 is about 1742.7486060460.

The spelling of 5293028496 in words is "five billion, two hundred ninety-three million, twenty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 41 42 48 56 58 82 84 87 112 116 123 164 168 174 203 232 246 287 328 336 348 406 464 492 574 609 656 696 812 861 984 1148 1189 1218 1392 1624 1722 1968 2296 2378 2436 3248 3444 3567 4592 4756 4872 6888 7134 8323 9512 9744 13249 13776 14268 16646 19024 24969 26498 28536 33292 39747 49938 52996 57072 66584 79494 92743 99876 105992 133168 158988 185486 199752 211984 278229 317976 370972 384221 399504 543209 556458 635952 741944 768442 1086418 1112916 1152663 1483888 1536884 1629627 2172836 2225832 2305326 2689547 3073768 3259254 3802463 4345672 4451664 4610652 5379094 6147536 6518508 7604926 8068641 8691344 9221304 10758188 11407389 13037016 15209852 15753061 16137282 18442608 21516376 22814778 26074032 30419704 31506122 32274564 43032752 45629556 47259183 60839408 63012244 64549128 91259112 94518366 110271427 126024488 129098256 182518224 189036732 220542854 252048976 330814281 378073464 441085708 661628562 756146928 882171416 1323257124 1764342832 2646514248 5293028496