Search a number
-
+
5268332288 = 2853974003
BaseRepresentation
bin1001110100000010…
…00101111100000000
3111121011022000021002
410322001011330000
541242143113123
62230434351132
7244361041232
oct47201057400
914534260232
105268332288
11226392202a
12103042b4a8
1365c61c5ab
1437d990252
1520c7ac528
hex13a045f00

5268332288 has 72 divisors (see below), whose sum is σ = 10827664848. Its totient is φ = 2557181952.

The previous prime is 5268332281. The next prime is 5268332297. The reversal of 5268332288 is 8822338625.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5268332281) 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, 1314095 + ... + 1318097.

It is an arithmetic number, because the mean of its divisors is an integer number (150384234).

Almost surely, 25268332288 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 5268332288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413832424).

5268332288 is an abundant number, since it is smaller than the sum of its proper divisors (5559332560).

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

5268332288 is an equidigital number, since it uses as much as digits as its factorization.

5268332288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169 (or 4155 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 47.

The square root of 5268332288 is about 72583.2782946596. The cubic root of 5268332288 is about 1740.0339412941.

The spelling of 5268332288 in words is "five billion, two hundred sixty-eight million, three hundred thirty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 53 64 97 106 128 194 212 256 388 424 776 848 1552 1696 3104 3392 4003 5141 6208 6784 8006 10282 12416 13568 16012 20564 24832 32024 41128 64048 82256 128096 164512 212159 256192 329024 388291 424318 512384 658048 776582 848636 1024768 1316096 1553164 1697272 3106328 3394544 6212656 6789088 12425312 13578176 20579423 24850624 27156352 41158846 49701248 54312704 82317692 99402496 164635384 329270768 658541536 1317083072 2634166144 5268332288