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83255055 = 35131923977
BaseRepresentation
bin1001111011001…
…01111100001111
312210122210110120
410331211330033
5132303130210
612132240023
72030441052
oct475457417
9183583416
1083255055
1142aa4834
1223a70013
131432cb60
14b0b2a99
157498270
hex4f65f0f

83255055 has 64 divisors (see below), whose sum is σ = 157731840. Its totient is φ = 37103616.

The previous prime is 83254991. The next prime is 83255063. The reversal of 83255055 is 55055238.

It is not a de Polignac number, because 83255055 - 26 = 83254991 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84727 + ... + 85703.

It is an arithmetic number, because the mean of its divisors is an integer number (2464560).

Almost surely, 283255055 is an apocalyptic number.

83255055 is a deficient number, since it is larger than the sum of its proper divisors (74476785).

83255055 is a wasteful number, since it uses less digits than its factorization.

83255055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040.

The product of its (nonzero) digits is 30000, while the sum is 33.

The square root of 83255055 is about 9124.4208035360. The cubic root of 83255055 is about 436.6534246773.

The spelling of 83255055 in words is "eighty-three million, two hundred fifty-five thousand, fifty-five".

Divisors: 1 3 5 13 15 19 23 39 57 65 69 95 115 195 247 285 299 345 437 741 897 977 1235 1311 1495 2185 2931 3705 4485 4885 5681 6555 12701 14655 17043 18563 22471 28405 38103 55689 63505 67413 85215 92815 112355 190515 241319 278445 292123 337065 426949 723957 876369 1206595 1280847 1460615 2134745 3619785 4381845 5550337 6404235 16651011 27751685 83255055