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82442848 = 2510325013
BaseRepresentation
bin1001110100111…
…11101001100000
312202010112022211
410322133221200
5132101132343
612103011504
72020516105
oct472375140
9182115284
1082442848
114259a594
1223739b94
1314107267
14ad40aac
15738779d
hex4e9fa60

82442848 has 24 divisors (see below), whose sum is σ = 163891728. Its totient is φ = 40819584.

The previous prime is 82442839. The next prime is 82442849. The reversal of 82442848 is 84824428.

It is a super-2 number, since 2×824428482 = 13593646372702208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 82442848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82442849) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9211 + ... + 15802.

It is an arithmetic number, because the mean of its divisors is an integer number (6828822).

Almost surely, 282442848 is an apocalyptic number.

It is an amenable number.

82442848 is a deficient number, since it is larger than the sum of its proper divisors (81448880).

82442848 is a wasteful number, since it uses less digits than its factorization.

82442848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25126 (or 25118 counting only the distinct ones).

The product of its digits is 131072, while the sum is 40.

The square root of 82442848 is about 9079.8044031796. The cubic root of 82442848 is about 435.2288363065.

The spelling of 82442848 in words is "eighty-two million, four hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 103 206 412 824 1648 3296 25013 50026 100052 200104 400208 800416 2576339 5152678 10305356 20610712 41221424 82442848