Search a number
-
+
82169952 = 253855937
BaseRepresentation
bin1001110010111…
…01000001100000
312201121122222120
410321131001200
5132013414302
612053104240
72015301354
oct471350140
9181548876
1082169952
1142423557
1223628080
131403cc97
14acad464
1573319bc
hex4e5d060

82169952 has 24 divisors (see below), whose sum is σ = 215696376. Its totient is φ = 27389952.

The previous prime is 82169951. The next prime is 82169987. The reversal of 82169952 is 25996128.

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

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82169951) 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, 427873 + ... + 428064.

It is an arithmetic number, because the mean of its divisors is an integer number (8987349).

Almost surely, 282169952 is an apocalyptic number.

It is an amenable number.

82169952 is an abundant number, since it is smaller than the sum of its proper divisors (133526424).

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

82169952 is a wasteful number, since it uses less digits than its factorization.

82169952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855950 (or 855942 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 82169952 is about 9064.7643102289. The cubic root of 82169952 is about 434.7480850825.

The spelling of 82169952 in words is "eighty-two million, one hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 855937 1711874 2567811 3423748 5135622 6847496 10271244 13694992 20542488 27389984 41084976 82169952