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82048456 = 23710713693
BaseRepresentation
bin1001110001111…
…11010111001000
312201101111022201
410320333113020
5132001022311
612050325544
72014254220
oct470772710
9181344281
1082048456
1142350246
12235898b4
1313cc98a9
14ac7b080
15730a9c1
hex4e3f5c8

82048456 has 32 divisors (see below), whose sum is σ = 177474240. Its totient is φ = 34832448.

The previous prime is 82048451. The next prime is 82048459. The reversal of 82048456 is 65484028.

It is not an unprimeable number, because it can be changed into a prime (82048451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 855 + ... + 12838.

It is an arithmetic number, because the mean of its divisors is an integer number (5546070).

Almost surely, 282048456 is an apocalyptic number.

It is an amenable number.

82048456 is an abundant number, since it is smaller than the sum of its proper divisors (95425784).

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

82048456 is a wasteful number, since it uses less digits than its factorization.

82048456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13813 (or 13809 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 82048456 is about 9058.0602780065. The cubic root of 82048456 is about 434.5337074150.

The spelling of 82048456 in words is "eighty-two million, forty-eight thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 56 107 214 428 749 856 1498 2996 5992 13693 27386 54772 95851 109544 191702 383404 766808 1465151 2930302 5860604 10256057 11721208 20512114 41024228 82048456