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82391001 = 3731129251
BaseRepresentation
bin1001110100100…
…10111111011001
312202000220012120
410322102333121
5132043003001
612101531453
72020212000
oct472227731
9182026176
1082391001
1142564640
1223713b89
13140b9794
14ad29c37
157377236
hex4e92fd9

82391001 has 64 divisors (see below), whose sum is σ = 145152000. Its totient is φ = 41160000.

The previous prime is 82390981. The next prime is 82391003. The reversal of 82391001 is 10019328.

It is not a de Polignac number, because 82391001 - 215 = 82358233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82391003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 328126 + ... + 328376.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 282391001 is an apocalyptic number.

It is an amenable number.

82391001 is a deficient number, since it is larger than the sum of its proper divisors (62760999).

82391001 is a wasteful number, since it uses less digits than its factorization.

82391001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 82391001 is about 9076.9488816452. The cubic root of 82391001 is about 435.1375810026.

The spelling of 82391001 in words is "eighty-two million, three hundred ninety-one thousand, one".

Divisors: 1 3 7 11 21 29 33 49 77 87 147 203 231 251 319 343 539 609 753 957 1029 1421 1617 1757 2233 2761 3773 4263 5271 6699 7279 8283 9947 11319 12299 15631 19327 21837 29841 36897 46893 50953 57981 80069 86093 109417 135289 152859 240207 258279 328251 356671 405867 560483 947023 1070013 1681449 2496697 2841069 3923381 7490091 11770143 27463667 82391001