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82485920 = 2551146867
BaseRepresentation
bin1001110101010…
…10001010100000
312202012201102002
410322222022200
5132104022140
612103543132
72021055506
oct472521240
9182181362
1082485920
1142619990
122375aaa8
1314120a4a
14ad52676
157395415
hex4eaa2a0

82485920 has 48 divisors (see below), whose sum is σ = 212593248. Its totient is φ = 29994240.

The previous prime is 82485899. The next prime is 82485937. The reversal of 82485920 is 2958428.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21674 + ... + 25193.

It is an arithmetic number, because the mean of its divisors is an integer number (4429026).

Almost surely, 282485920 is an apocalyptic number.

82485920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82485920 is an abundant number, since it is smaller than the sum of its proper divisors (130107328).

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

82485920 is a wasteful number, since it uses less digits than its factorization.

82485920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46893 (or 46885 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 82485920 is about 9082.1759507290. The cubic root of 82485920 is about 435.3046177447.

The spelling of 82485920 in words is "eighty-two million, four hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 46867 93734 187468 234335 374936 468670 515537 749872 937340 1031074 1499744 1874680 2062148 2577685 3749360 4124296 5155370 7498720 8248592 10310740 16497184 20621480 41242960 82485920