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82364457 = 3761113569
BaseRepresentation
bin1001110100011…
…00100000101001
312201222112210110
410322030200221
5132041130312
612101204533
72020041420
oct472144051
9181875713
1082364457
11425466aa
1223700749
13140aa686
14ad202b7
15736e43c
hex4e8c829

82364457 has 32 divisors (see below), whose sum is σ = 128920320. Its totient is φ = 45803520.

The previous prime is 82364417. The next prime is 82364501. The reversal of 82364457 is 75446328.

It is a happy number.

It is not a de Polignac number, because 82364457 - 27 = 82364329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82364407) 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, 144469 + ... + 145037.

It is an arithmetic number, because the mean of its divisors is an integer number (4028760).

Almost surely, 282364457 is an apocalyptic number.

It is an amenable number.

82364457 is a deficient number, since it is larger than the sum of its proper divisors (46555863).

82364457 is a wasteful number, since it uses less digits than its factorization.

82364457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753.

The product of its digits is 161280, while the sum is 39.

The square root of 82364457 is about 9075.4865985246. The cubic root of 82364457 is about 435.0908463980.

The spelling of 82364457 in words is "eighty-two million, three hundred sixty-four thousand, four hundred fifty-seven".

Divisors: 1 3 7 21 61 113 183 339 427 569 791 1281 1707 2373 3983 6893 11949 20679 34709 48251 64297 104127 144753 192891 242963 450079 728889 1350237 3922117 11766351 27454819 82364457