Search a number
-
+
82927968 = 253863833
BaseRepresentation
bin1001111000101…
…10000101100000
312210001011210020
410330112011200
5132212143333
612121233440
72024606334
oct474260540
9183034706
1082927968
11428a1012
1223932880
1314247006
14b0297c4
1574313b3
hex4f16160

82927968 has 24 divisors (see below), whose sum is σ = 217686168. Its totient is φ = 27642624.

The previous prime is 82927967. The next prime is 82927973. The reversal of 82927968 is 86972928.

It is a happy number.

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 82927968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82927967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 431821 + ... + 432012.

It is an arithmetic number, because the mean of its divisors is an integer number (9070257).

Almost surely, 282927968 is an apocalyptic number.

It is an amenable number.

82927968 is an abundant number, since it is smaller than the sum of its proper divisors (134758200).

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

82927968 is a wasteful number, since it uses less digits than its factorization.

82927968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863846 (or 863838 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 82927968 is about 9106.4794514675. The cubic root of 82927968 is about 436.0808424008.

The spelling of 82927968 in words is "eighty-two million, nine hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 863833 1727666 2591499 3455332 5182998 6910664 10365996 13821328 20731992 27642656 41463984 82927968