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827783055 = 325113745197
BaseRepresentation
bin110001010101101…
…111011110001111
32010200121201212200
4301111233132033
53143403024210
6214050132543
726341016451
oct6125573617
92120551780
10827783055
11395297730
121b1281153
1310265ca78
147bd1c2d1
154ca140c0
hex3156f78f

827783055 has 48 divisors (see below), whose sum is σ = 1607602464. Its totient is φ = 390493440.

The previous prime is 827783027. The next prime is 827783063. The reversal of 827783055 is 550387728.

827783055 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 827783055 - 211 = 827781007 is a prime.

It is a super-2 number, since 2×8277830552 = 1370449572290266050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 827783055.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4284 + ... + 40913.

It is an arithmetic number, because the mean of its divisors is an integer number (33491718).

Almost surely, 2827783055 is an apocalyptic number.

827783055 is a deficient number, since it is larger than the sum of its proper divisors (779819409).

827783055 is a wasteful number, since it uses less digits than its factorization.

827783055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45256 (or 45253 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 827783055 is about 28771.2192129565. The cubic root of 827783055 is about 938.9421686221.

The spelling of 827783055 in words is "eight hundred twenty-seven million, seven hundred eighty-three thousand, fifty-five".

Divisors: 1 3 5 9 11 15 33 37 45 55 99 111 165 185 333 407 495 555 1221 1665 2035 3663 6105 18315 45197 135591 225985 406773 497167 677955 1491501 1672289 2033865 2485835 4474503 5016867 7457505 8361445 15050601 18395179 22372515 25084335 55185537 75253005 91975895 165556611 275927685 827783055