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5827267248 = 2431112798629
BaseRepresentation
bin1010110110101010…
…10000101010110000
3120001010000211212220
411123111100222300
543413240022443
62402122321040
7264255645225
oct53325205260
916033024786
105827267248
112520382150
121167659180
1371b36a93a
143d3cc794c
152418b7a83
hex15b550ab0

5827267248 has 80 divisors (see below), whose sum is σ = 16437043200. Its totient is φ = 1764253440.

The previous prime is 5827267217. The next prime is 5827267261. The reversal of 5827267248 is 8427627285.

It is a super-2 number, since 2×58272672482 = 67914087159226987008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5827267248.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670998 + ... + 679626.

It is an arithmetic number, because the mean of its divisors is an integer number (205463040).

Almost surely, 25827267248 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 5827267248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8218521600).

5827267248 is an abundant number, since it is smaller than the sum of its proper divisors (10609775952).

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

5827267248 is a wasteful number, since it uses less digits than its factorization.

5827267248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9930 (or 9924 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 51.

The square root of 5827267248 is about 76336.5394028312. The cubic root of 5827267248 is about 1799.5129595875.

The spelling of 5827267248 in words is "five billion, eight hundred twenty-seven million, two hundred sixty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1279 2558 3837 5116 7674 8629 10232 14069 15348 17258 20464 25887 28138 30696 34516 42207 51774 56276 61392 69032 84414 94919 103548 112552 138064 168828 189838 207096 225104 284757 337656 379676 414192 569514 675312 759352 1139028 1518704 2278056 4556112 11036491 22072982 33109473 44145964 66218946 88291928 121401401 132437892 176583856 242802802 264875784 364204203 485605604 529751568 728408406 971211208 1456816812 1942422416 2913633624 5827267248