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82001856 = 2632391787
BaseRepresentation
bin1001110001100…
…11111111000000
312201022010101210
410320303333000
5131443024411
612045330120
72014001316
oct470637700
9181263353
1082001856
1142319232
1223566940
1313cb1611
14ac680b6
1572ebca6
hex4e33fc0

82001856 has 56 divisors (see below), whose sum is σ = 217992960. Its totient is φ = 27204352.

The previous prime is 82001809. The next prime is 82001861. The reversal of 82001856 is 65810028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44995 + ... + 46781.

Almost surely, 282001856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82001856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108996480).

82001856 is an abundant number, since it is smaller than the sum of its proper divisors (135991104).

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

82001856 is a wasteful number, since it uses less digits than its factorization.

82001856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 82001856 is about 9055.4876180137. The cubic root of 82001856 is about 434.4514263398.

The spelling of 82001856 in words is "eighty-two million, one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 239 478 717 956 1434 1787 1912 2868 3574 3824 5361 5736 7148 7648 10722 11472 14296 15296 21444 22944 28592 42888 45888 57184 85776 114368 171552 343104 427093 854186 1281279 1708372 2562558 3416744 5125116 6833488 10250232 13666976 20500464 27333952 41000928 82001856