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8303052416 = 271714925609
BaseRepresentation
bin1111011101110011…
…01000011010000000
3210102122122202122212
413232321220122000
5114001040134131
63451523121252
7412520531621
oct75671503200
923378582585
108303052416
11358094719a
121738813228
13a2426c389
1458aa33a48
15338e0da2b
hex1eee68680

8303052416 has 64 divisors (see below), whose sum is σ = 17632485000. Its totient is φ = 3880943616.

The previous prime is 8303052413. The next prime is 8303052419. The reversal of 8303052416 is 6142503038.

It is an interprime number because it is at equal distance from previous prime (8303052413) and next prime (8303052419).

It can be written as a sum of positive squares in 4 ways, for example, as 8237377600 + 65674816 = 90760^2 + 8104^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (8303052413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311420 + ... + 337028.

Almost surely, 28303052416 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 8303052416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8816242500).

8303052416 is an abundant number, since it is smaller than the sum of its proper divisors (9329432584).

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

8303052416 is a wasteful number, since it uses less digits than its factorization.

8303052416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25789 (or 25777 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 8303052416 is about 91121.0865606858. The cubic root of 8303052416 is about 2024.9420227063.

The spelling of 8303052416 in words is "eight billion, three hundred three million, fifty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 149 272 298 544 596 1088 1192 2176 2384 2533 4768 5066 9536 10132 19072 20264 25609 40528 51218 81056 102436 162112 204872 324224 409744 435353 819488 870706 1638976 1741412 3277952 3482824 3815741 6965648 7631482 13931296 15262964 27862592 30525928 55725184 61051856 64867597 122103712 129735194 244207424 259470388 488414848 518940776 1037881552 2075763104 4151526208 8303052416