Search a number
-
+
82198032 = 2437244637
BaseRepresentation
bin1001110011000…
…11111000010000
312201200002111120
410321203320100
5132020314112
612053442240
72015446260
oct471437020
9181602446
1082198032
1142442664
1223640380
131404c9b7
14acb97a0
157339e8c
hex4e63e10

82198032 has 40 divisors (see below), whose sum is σ = 242680896. Its totient is φ = 23485056.

The previous prime is 82198031. The next prime is 82198037. The reversal of 82198032 is 23089128.

It is a junction number, because it is equal to n+sod(n) for n = 82197984 and 82198002.

It is not an unprimeable number, because it can be changed into a prime (82198031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121983 + ... + 122654.

Almost surely, 282198032 is an apocalyptic number.

It is an amenable number.

82198032 is an abundant number, since it is smaller than the sum of its proper divisors (160482864).

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

82198032 is a wasteful number, since it uses less digits than its factorization.

82198032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244655 (or 244649 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 82198032 is about 9066.3130323191. The cubic root of 82198032 is about 434.7976017067.

The spelling of 82198032 in words is "eighty-two million, one hundred ninety-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 244637 489274 733911 978548 1467822 1712459 1957096 2935644 3424918 3914192 5137377 5871288 6849836 10274754 11742576 13699672 20549508 27399344 41099016 82198032