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2826948608 = 2121162743
BaseRepresentation
bin1010100001111111…
…1101000000000000
321022000101212110022
42220133331000000
521242144323413
61144303153012
7130024444451
oct25037750000
97260355408
102826948608
111220814370
1266a8a5768
133608a4373
141cb63b128
151182ae608
hexa87fd000

2826948608 has 52 divisors (see below), whose sum is σ = 6167233248. Its totient is φ = 1284956160.

The previous prime is 2826948599. The next prime is 2826948617. The reversal of 2826948608 is 8068496282.

It is an interprime number because it is at equal distance from previous prime (2826948599) and next prime (2826948617).

It is a self number, because there is not a number n which added to its sum of digits gives 2826948608.

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 3 ways as a sum of consecutive naturals, for example, 13685 + ... + 76427.

Almost surely, 22826948608 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 2826948608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083616624).

2826948608 is an abundant number, since it is smaller than the sum of its proper divisors (3340284640).

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

2826948608 is an equidigital number, since it uses as much as digits as its factorization.

2826948608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62778 (or 62756 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 53.

The square root of 2826948608 is about 53169.0568658125. The cubic root of 2826948608 is about 1413.9670999656.

The spelling of 2826948608 in words is "two billion, eight hundred twenty-six million, nine hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5632 11264 22528 45056 62743 125486 250972 501944 690173 1003888 1380346 2007776 2760692 4015552 5521384 8031104 11042768 16062208 22085536 32124416 44171072 64248832 88342144 128497664 176684288 256995328 353368576 706737152 1413474304 2826948608