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82151514 = 23217674007
BaseRepresentation
bin1001110010110…
…00100001011010
312201120201200200
410321120201122
5132012322024
612052443030
72015163534
oct471304132
9181521620
1082151514
1142410715
1223619476
1314034783
14aca6854
15732b2c9
hex4e5885a

82151514 has 48 divisors (see below), whose sum is σ = 191325888. Its totient is φ = 25382016.

The previous prime is 82151467. The next prime is 82151521. The reversal of 82151514 is 41515128.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18499 + ... + 22505.

It is an arithmetic number, because the mean of its divisors is an integer number (3985956).

Almost surely, 282151514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82151514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95662944).

82151514 is an abundant number, since it is smaller than the sum of its proper divisors (109174374).

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

82151514 is a wasteful number, since it uses less digits than its factorization.

82151514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4099 (or 4096 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 82151514 is about 9063.7472383115. The cubic root of 82151514 is about 434.7155651462.

The spelling of 82151514 in words is "eighty-two million, one hundred fifty-one thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 67 102 134 153 201 306 402 603 1139 1206 2278 3417 4007 6834 8014 10251 12021 20502 24042 36063 68119 72126 136238 204357 268469 408714 536938 613071 805407 1226142 1610814 2416221 4563973 4832442 9127946 13691919 27383838 41075757 82151514