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82435212 = 22334431723
BaseRepresentation
bin1001110100111…
…01110010001100
312202010010212000
410322131302030
5132100411322
612102512300
72020454616
oct472356214
9182103760
1082435212
1142594882
1223735690
1314103942
14ad3bdb6
1573853ac
hex4e9dc8c

82435212 has 48 divisors (see below), whose sum is σ = 214327680. Its totient is φ = 27400464.

The previous prime is 82435211. The next prime is 82435237. The reversal of 82435212 is 21253428.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (82435211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46983 + ... + 48705.

It is an arithmetic number, because the mean of its divisors is an integer number (4465160).

Almost surely, 282435212 is an apocalyptic number.

It is an amenable number.

82435212 is an abundant number, since it is smaller than the sum of its proper divisors (131892468).

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

82435212 is a wasteful number, since it uses less digits than its factorization.

82435212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2171 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 82435212 is about 9079.3838998029. The cubic root of 82435212 is about 435.2153986743.

The spelling of 82435212 in words is "eighty-two million, four hundred thirty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 443 886 1329 1723 1772 2658 3446 3987 5169 5316 6892 7974 10338 11961 15507 15948 20676 23922 31014 46521 47844 62028 93042 186084 763289 1526578 2289867 3053156 4579734 6869601 9159468 13739202 20608803 27478404 41217606 82435212