Search a number
-
+
82710216 = 23321148753
BaseRepresentation
bin1001110111000…
…00111011001000
312202122010002100
410323200323020
5132133211331
612112433400
72023011441
oct473407310
9182563070
1082710216
1142762456
1223848860
131419bb74
14adb02c8
1573dbae6
hex4ee0ec8

82710216 has 24 divisors (see below), whose sum is σ = 224007030. Its totient is φ = 27570048.

The previous prime is 82710209. The next prime is 82710217. The reversal of 82710216 is 61201728.

It can be written as a sum of positive squares in only one way, i.e., 67076100 + 15634116 = 8190^2 + 3954^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 82710216.

It is not an unprimeable number, because it can be changed into a prime (82710217) 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 5 ways as a sum of consecutive naturals, for example, 574305 + ... + 574448.

Almost surely, 282710216 is an apocalyptic number.

It is an amenable number.

82710216 is an abundant number, since it is smaller than the sum of its proper divisors (141296814).

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

82710216 is a wasteful number, since it uses less digits than its factorization.

82710216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148765 (or 1148758 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 82710216 is about 9094.5157100310. The cubic root of 82710216 is about 435.6988212630.

The spelling of 82710216 in words is "eighty-two million, seven hundred ten thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1148753 2297506 3446259 4595012 6892518 9190024 10338777 13785036 20677554 27570072 41355108 82710216