Search a number
-
+
82425216 = 273474567
BaseRepresentation
bin1001110100110…
…11010110000000
312202002122010210
410322123112000
5132100101331
612102354120
72020413516
oct472332600
9182078123
1082425216
1142588315
122372b940
13140cc223
14ad384b6
157382446
hex4e9b580

82425216 has 64 divisors (see below), whose sum is σ = 223649280. Its totient is φ = 26884608.

The previous prime is 82425199. The next prime is 82425223. The reversal of 82425216 is 61252428.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15765 + ... + 20331.

It is an arithmetic number, because the mean of its divisors is an integer number (3494520).

Almost surely, 282425216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82425216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111824640).

82425216 is an abundant number, since it is smaller than the sum of its proper divisors (141224064).

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

82425216 is a wasteful number, since it uses less digits than its factorization.

82425216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4631 (or 4619 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 82425216 is about 9078.8334052344. The cubic root of 82425216 is about 435.1978067219.

The spelling of 82425216 in words is "eighty-two million, four hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 3008 4512 4567 6016 9024 9134 13701 18048 18268 27402 36536 54804 73072 109608 146144 214649 219216 292288 429298 438432 584576 643947 858596 876864 1287894 1717192 1753728 2575788 3434384 5151576 6868768 10303152 13737536 20606304 27475072 41212608 82425216