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82438083 = 327131731191
BaseRepresentation
bin1001110100111…
…10011111000011
312202010021210100
410322132133003
5132101004313
612102533443
72020466160
oct472363703
9182107710
1082438083
1142596a52
1223737283
1314105040
14ad3d067
157386173
hex4e9e7c3

82438083 has 96 divisors (see below), whose sum is σ = 161021952. Its totient is φ = 39398400.

The previous prime is 82438067. The next prime is 82438087. The reversal of 82438083 is 38083428.

It is a happy number.

It is not a de Polignac number, because 82438083 - 24 = 82438067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82438087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 431518 + ... + 431708.

It is an arithmetic number, because the mean of its divisors is an integer number (1677312).

Almost surely, 282438083 is an apocalyptic number.

82438083 is a deficient number, since it is larger than the sum of its proper divisors (78583869).

82438083 is a wasteful number, since it uses less digits than its factorization.

82438083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 82438083 is about 9079.5420038678. The cubic root of 82438083 is about 435.2204510821.

The spelling of 82438083 in words is "eighty-two million, four hundred thirty-eight thousand, eighty-three".

Divisors: 1 3 7 9 13 17 21 31 39 51 63 91 93 117 119 153 191 217 221 273 279 357 403 527 573 651 663 819 1071 1209 1337 1547 1581 1719 1953 1989 2483 2821 3247 3627 3689 4011 4641 4743 5921 6851 7449 8463 9741 11067 12033 13923 17381 17763 20553 22347 22729 25389 29223 33201 41447 42211 47957 52143 53289 61659 68187 76973 100657 124341 126633 143871 156429 204561 230919 295477 301971 373023 379899 431613 538811 692757 704599 886431 905913 1308541 1616433 2113797 2659293 3925623 4849299 6341391 9159787 11776869 27479361 82438083