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82130433 = 37111672129
BaseRepresentation
bin1001110010100…
…11011000000001
312201112122202220
410321103120001
5132011133213
612052201253
72015045220
oct471233001
9181478686
1082130433
11423a68a0
1223609229
1314027cb8
14ac9ccb7
157324e23
hex4e53601

82130433 has 32 divisors (see below), whose sum is σ = 137410560. Its totient is φ = 42389760.

The previous prime is 82130423. The next prime is 82130441. The reversal of 82130433 is 33403128.

It is not a de Polignac number, because 82130433 - 29 = 82129921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82130423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37513 + ... + 39641.

It is an arithmetic number, because the mean of its divisors is an integer number (4294080).

Almost surely, 282130433 is an apocalyptic number.

It is an amenable number.

82130433 is a deficient number, since it is larger than the sum of its proper divisors (55280127).

82130433 is a wasteful number, since it uses less digits than its factorization.

82130433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 82130433 is about 9062.5842340913. The cubic root of 82130433 is about 434.6783776683.

The spelling of 82130433 in words is "eighty-two million, one hundred thirty thousand, four hundred thirty-three".

Divisors: 1 3 7 11 21 33 77 167 231 501 1169 1837 2129 3507 5511 6387 12859 14903 23419 38577 44709 70257 163933 355543 491799 1066629 2488801 3910973 7466403 11732919 27376811 82130433