Search a number
-
+
82315053 = 329146117
BaseRepresentation
bin1001110100000…
…00011100101101
312201220001000200
410322000130231
5132033040203
612100144113
72016444402
oct472003455
9181801020
1082315053
1142512577
1223698039
1314091042
14ad0a2a9
15735e9a3
hex4e8072d

82315053 has 6 divisors (see below), whose sum is σ = 118899534. Its totient is φ = 54876696.

The previous prime is 82315043. The next prime is 82315063. The reversal of 82315053 is 35051328.

It is an interprime number because it is at equal distance from previous prime (82315043) and next prime (82315063).

It can be written as a sum of positive squares in only one way, i.e., 74597769 + 7717284 = 8637^2 + 2778^2 .

It is not a de Polignac number, because 82315053 - 218 = 82052909 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82315033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4573050 + ... + 4573067.

It is an arithmetic number, because the mean of its divisors is an integer number (19816589).

Almost surely, 282315053 is an apocalyptic number.

It is an amenable number.

82315053 is a deficient number, since it is larger than the sum of its proper divisors (36584481).

82315053 is a wasteful number, since it uses less digits than its factorization.

82315053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9146123 (or 9146120 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 82315053 is about 9072.7643527207. The cubic root of 82315053 is about 435.0038366685.

It can be divided in two parts, 823 and 15053, that added together give a square (15876 = 1262).

The spelling of 82315053 in words is "eighty-two million, three hundred fifteen thousand, fifty-three".

Divisors: 1 3 9 9146117 27438351 82315053