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82714132 = 2253390161
BaseRepresentation
bin1001110111000…
…01111000010100
312202122022110101
410323201320110
5132133323012
612112503444
72023026034
oct473417024
9182568411
1082714132
1142765396
122384ab84
13141a0897
14adb18c4
1573dcd57
hex4ee1e14

82714132 has 12 divisors (see below), whose sum is σ = 147481236. Its totient is φ = 40576640.

The previous prime is 82714127. The next prime is 82714133. The reversal of 82714132 is 23141728.

It can be written as a sum of positive squares in 2 ways, for example, as 50041476 + 32672656 = 7074^2 + 5716^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82714132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82714133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 194869 + ... + 195292.

It is an arithmetic number, because the mean of its divisors is an integer number (12290103).

Almost surely, 282714132 is an apocalyptic number.

It is an amenable number.

82714132 is a deficient number, since it is larger than the sum of its proper divisors (64767104).

82714132 is a wasteful number, since it uses less digits than its factorization.

82714132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390218 (or 390216 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 82714132 is about 9094.7310020693. The cubic root of 82714132 is about 435.7056973570.

It can be divided in two parts, 8271 and 4132, that added together give a triangular number (12403 = T157).

The spelling of 82714132 in words is "eighty-two million, seven hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 4 53 106 212 390161 780322 1560644 20678533 41357066 82714132