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2825543344 = 2413171097331
BaseRepresentation
bin1010100001101010…
…0101111010110000
321021220202110210111
42220122211322300
521241314341334
61144213111104
7130006502461
oct25032457260
97256673714
102825543344
11121aa44598
1266a328494
13360501850
141cb392d68
151180d3064
hexa86a5eb0

2825543344 has 80 divisors (see below), whose sum is σ = 6300534240. Its totient is φ = 1215959040.

The previous prime is 2825543339. The next prime is 2825543359. The reversal of 2825543344 is 4433455282.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2825543297 and 2825543306.

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, 381759 + ... + 389089.

It is an arithmetic number, because the mean of its divisors is an integer number (78756678).

Almost surely, 22825543344 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 2825543344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150267120).

2825543344 is an abundant number, since it is smaller than the sum of its proper divisors (3474990896).

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

2825543344 is a wasteful number, since it uses less digits than its factorization.

2825543344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7478 (or 7472 counting only the distinct ones).

The product of its digits is 460800, while the sum is 40.

The square root of 2825543344 is about 53155.8401683202. The cubic root of 2825543344 is about 1413.7327688107.

The spelling of 2825543344 in words is "two billion, eight hundred twenty-five million, five hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 109 136 208 218 221 272 436 442 872 884 1417 1744 1768 1853 2834 3536 3706 5668 7331 7412 11336 14662 14824 22672 24089 29324 29648 48178 58648 95303 96356 117296 124627 190606 192712 249254 381212 385424 498508 762424 799079 997016 1524848 1598158 1620151 1994032 3196316 3240302 6392632 6480604 10388027 12785264 12961208 13584343 20776054 25922416 27168686 41552108 54337372 83104216 108674744 166208432 176596459 217349488 353192918 706385836 1412771672 2825543344