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82783001 = 729717417
BaseRepresentation
bin1001110111100…
…10101100011001
312202202210221002
410323302230121
5132143024001
612114154345
72023433600
oct473625431
9182683832
1082783001
1142802104
12238829b5
13141c6032
14adcca37
15740346b
hex4ef2b19

82783001 has 12 divisors (see below), whose sum is σ = 97296948. Its totient is φ = 70221312.

The previous prime is 82782991. The next prime is 82783007. The reversal of 82783001 is 10038728.

It can be written as a sum of positive squares in 2 ways, for example, as 60918025 + 21864976 = 7805^2 + 4676^2 .

It is not a de Polignac number, because 82783001 - 26 = 82782937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82783007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3956 + ... + 13461.

It is an arithmetic number, because the mean of its divisors is an integer number (8108079).

Almost surely, 282783001 is an apocalyptic number.

It is an amenable number.

82783001 is a deficient number, since it is larger than the sum of its proper divisors (14513947).

82783001 is a wasteful number, since it uses less digits than its factorization.

82783001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17528 (or 17521 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 82783001 is about 9098.5164175265. The cubic root of 82783001 is about 435.8265887968.

The spelling of 82783001 in words is "eighty-two million, seven hundred eighty-three thousand, one".

Divisors: 1 7 49 97 679 4753 17417 121919 853433 1689449 11826143 82783001