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82055028 = 22311621629
BaseRepresentation
bin1001110010000…
…00111101110100
312201101211100010
410321000331310
5132001230103
612050420220
72014312326
oct471007564
9181354303
1082055028
1142355180
1223591670
1313ccc893
14ac7d616
15730c903
hex4e40f74

82055028 has 24 divisors (see below), whose sum is σ = 208867680. Its totient is φ = 24865120.

The previous prime is 82055021. The next prime is 82055033.

82055028 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82054986 and 82055004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82055021) 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 7 ways as a sum of consecutive naturals, for example, 310683 + ... + 310946.

It is an arithmetic number, because the mean of its divisors is an integer number (8702820).

Almost surely, 282055028 is an apocalyptic number.

It is an amenable number.

82055028 is an abundant number, since it is smaller than the sum of its proper divisors (126812652).

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

82055028 is a wasteful number, since it uses less digits than its factorization.

82055028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621647 (or 621645 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 82055028 is about 9058.4230415674. The cubic root of 82055028 is about 434.5453090117.

The spelling of 82055028 in words is "eighty-two million, fifty-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 621629 1243258 1864887 2486516 3729774 6837919 7459548 13675838 20513757 27351676 41027514 82055028