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82432014 = 23721716493
BaseRepresentation
bin1001110100111…
…01000000001110
312202002222110120
410322131000032
5132100311024
612102445410
72020442400
oct472350016
9182088416
1082432014
1142592435
1223733866
1314102352
14ad3ab70
157384479
hex4e9d00e

82432014 has 48 divisors (see below), whose sum is σ = 203074128. Its totient is φ = 22165248.

The previous prime is 82431991. The next prime is 82432019. The reversal of 82432014 is 41023428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82432019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3249 + ... + 13244.

It is an arithmetic number, because the mean of its divisors is an integer number (4230711).

Almost surely, 282432014 is an apocalyptic number.

82432014 is an abundant number, since it is smaller than the sum of its proper divisors (120642114).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82432014 is a wasteful number, since it uses less digits than its factorization.

82432014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16529 (or 16522 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 82432014 is about 9079.2077848235. The cubic root of 82432014 is about 435.2097706714.

The spelling of 82432014 in words is "eighty-two million, four hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 357 714 833 1666 2499 4998 16493 32986 49479 98958 115451 230902 280381 346353 560762 692706 808157 841143 1616314 1682286 1962667 2424471 3925334 4848942 5888001 11776002 13738669 27477338 41216007 82432014