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530354496 = 2637616469
BaseRepresentation
bin11111100111001…
…001000101000000
31100221221210121010
4133213021011000
52041232320441
6124343200520
716066640010
oct3747110500
91327853533
10530354496
1125240a201
12129746140
1385b52539
1450617c40
1531862116
hex1f9c9140

530354496 has 112 divisors (see below), whose sum is σ = 1630232960. Its totient is φ = 149022720.

The previous prime is 530354483. The next prime is 530354501. The reversal of 530354496 is 694453035.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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, 78750 + ... + 85218.

Almost surely, 2530354496 is an apocalyptic number.

530354496 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 530354496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815116480).

530354496 is an abundant number, since it is smaller than the sum of its proper divisors (1099878464).

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

530354496 is a wasteful number, since it uses less digits than its factorization.

530354496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6552 (or 6542 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The square root of 530354496 is about 23029.4267405856. The cubic root of 530354496 is about 809.4476221734.

The spelling of 530354496 in words is "five hundred thirty million, three hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 168 183 192 224 244 336 366 427 448 488 672 732 854 976 1281 1344 1464 1708 1952 2562 2928 3416 3904 5124 5856 6469 6832 10248 11712 12938 13664 19407 20496 25876 27328 38814 40992 45283 51752 77628 81984 90566 103504 135849 155256 181132 207008 271698 310512 362264 394609 414016 543396 621024 724528 789218 1086792 1183827 1242048 1449056 1578436 2173584 2367654 2762263 2898112 3156872 4347168 4735308 5524526 6313744 8286789 8694336 9470616 11049052 12627488 16573578 18941232 22098104 25254976 33147156 37882464 44196208 66294312 75764928 88392416 132588624 176784832 265177248 530354496