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82225056 = 2531750383
BaseRepresentation
bin1001110011010…
…10011110100000
312201201110120110
410321222132200
5132022200211
612054211320
72015621124
oct471523640
9181643513
1082225056
11424609a1
1223653b40
131405c0a4
14acc5584
157342ea6
hex4e6a7a0

82225056 has 48 divisors (see below), whose sum is σ = 228541824. Its totient is φ = 25795584.

The previous prime is 82225037. The next prime is 82225061. The reversal of 82225056 is 65052228.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23560 + ... + 26823.

It is an arithmetic number, because the mean of its divisors is an integer number (4761288).

Almost surely, 282225056 is an apocalyptic number.

It is an amenable number.

82225056 is an abundant number, since it is smaller than the sum of its proper divisors (146316768).

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

82225056 is a wasteful number, since it uses less digits than its factorization.

82225056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50413 (or 50405 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 82225056 is about 9067.8032620917. The cubic root of 82225056 is about 434.8452455196.

It can be divided in two parts, 822 and 25056, that added together give a triangular number (25878 = T227).

The spelling of 82225056 in words is "eighty-two million, two hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 50383 100766 151149 201532 302298 403064 604596 806128 856511 1209192 1612256 1713022 2418384 2569533 3426044 4836768 5139066 6852088 10278132 13704176 20556264 27408352 41112528 82225056