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82042048 = 2611116537
BaseRepresentation
bin1001110001111…
…01110011000000
312201101011112101
410320331303000
5132000321143
612050240144
72014226434
oct470756300
9181334471
1082042048
1142346450
1223586054
1313cc69ba
14ac789c4
157308b4d
hex4e3dcc0

82042048 has 28 divisors (see below), whose sum is σ = 177603912. Its totient is φ = 37291520.

The previous prime is 82042043. The next prime is 82042063. The reversal of 82042048 is 84024028.

It is not an unprimeable number, because it can be changed into a prime (82042043) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 57565 + ... + 58972.

Almost surely, 282042048 is an apocalyptic number.

82042048 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82042048 is an abundant number, since it is smaller than the sum of its proper divisors (95561864).

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

82042048 is a wasteful number, since it uses less digits than its factorization.

82042048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116560 (or 116550 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 82042048 is about 9057.7065529857. The cubic root of 82042048 is about 434.5223947322.

The spelling of 82042048 in words is "eighty-two million, forty-two thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 116537 233074 466148 932296 1281907 1864592 2563814 3729184 5127628 7458368 10255256 20510512 41021024 82042048