Search a number
-
+
82714248 = 23321767577
BaseRepresentation
bin1001110111000…
…01111010001000
312202122022121200
410323201322020
5132133323443
612112504200
72023026261
oct473417210
9182568550
1082714248
1142765491
122384b060
13141a0956
14adb1968
1573dcdd3
hex4ee1e88

82714248 has 48 divisors (see below), whose sum is σ = 237198780. Its totient is φ = 25949184.

The previous prime is 82714243. The next prime is 82714259. The reversal of 82714248 is 84241728.

It can be written as a sum of positive squares in 2 ways, for example, as 81757764 + 956484 = 9042^2 + 978^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82714243) 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 11 ways as a sum of consecutive naturals, for example, 32565 + ... + 35012.

Almost surely, 282714248 is an apocalyptic number.

It is an amenable number.

82714248 is an abundant number, since it is smaller than the sum of its proper divisors (154484532).

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

82714248 is a wasteful number, since it uses less digits than its factorization.

82714248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67606 (or 67599 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 82714248 is about 9094.7373793859. The cubic root of 82714248 is about 435.7059010378.

The spelling of 82714248 in words is "eighty-two million, seven hundred fourteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 67577 135154 202731 270308 405462 540616 608193 810924 1148809 1216386 1621848 2297618 2432772 3446427 4595236 4865544 6892854 9190472 10339281 13785708 20678562 27571416 41357124 82714248