Search a number
-
+
82056402 = 2341953503
BaseRepresentation
bin1001110010000…
…01010011010010
312201101220020000
410321001103102
5132001301102
612050430430
72014316331
oct471012322
9181356200
1082056402
114235620a
1223592416
13140003ac
14ac7dd18
15730d01c
hex4e414d2

82056402 has 80 divisors (see below), whose sum is σ = 197588160. Its totient is φ = 25373088.

The previous prime is 82056397. The next prime is 82056409. The reversal of 82056402 is 20465028.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (82056409) 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 39 ways as a sum of consecutive naturals, for example, 162883 + ... + 163385.

It is an arithmetic number, because the mean of its divisors is an integer number (2469852).

Almost surely, 282056402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82056402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98794080).

82056402 is an abundant number, since it is smaller than the sum of its proper divisors (115531758).

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

82056402 is a wasteful number, since it uses less digits than its factorization.

82056402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 82056402 is about 9058.4988822652. The cubic root of 82056402 is about 434.5477344650.

The spelling of 82056402 in words is "eighty-two million, fifty-six thousand, four hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 53 54 57 81 106 114 159 162 171 318 342 477 503 513 954 1006 1007 1026 1431 1509 1539 2014 2862 3018 3021 3078 4293 4527 6042 8586 9054 9063 9557 13581 18126 19114 26659 27162 27189 28671 40743 53318 54378 57342 79977 81486 81567 86013 159954 163134 172026 239931 258039 479862 506521 516078 719793 774117 1013042 1439586 1519563 1548234 2159379 3039126 4318758 4558689 9117378 13676067 27352134 41028201 82056402