Search a number
-
+
82020444 = 223111736551
BaseRepresentation
bin1001110001110…
…00100001011100
312201100001220020
410320320201130
5131444123234
612045552140
72014106442
oct470704134
9181301806
1082020444
11423311a0
1223575650
1313cb9c0c
14ac70b92
157302549
hex4e3885c

82020444 has 48 divisors (see below), whose sum is σ = 221066496. Its totient is φ = 23392000.

The previous prime is 82020409. The next prime is 82020457. The reversal of 82020444 is 44402028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16032 + ... + 20519.

It is an arithmetic number, because the mean of its divisors is an integer number (4605552).

Almost surely, 282020444 is an apocalyptic number.

It is an amenable number.

82020444 is an abundant number, since it is smaller than the sum of its proper divisors (139046052).

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

82020444 is a wasteful number, since it uses less digits than its factorization.

82020444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36586 (or 36584 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 82020444 is about 9056.5138988465. The cubic root of 82020444 is about 434.4842506904.

The spelling of 82020444 in words is "eighty-two million, twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 36551 73102 109653 146204 219306 402061 438612 621367 804122 1206183 1242734 1608244 1864101 2412366 2485468 3728202 4824732 6835037 7456404 13670074 20505111 27340148 41010222 82020444