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82909372 = 22721322503
BaseRepresentation
bin1001111000100…
…01100010111100
312210000020021111
410330101202330
5132211044442
612121011404
72024501200
oct474214274
9183006244
1082909372
1142889047
1223923b64
131423b700
14b022b00
15742ab17
hex4f118bc

82909372 has 54 divisors (see below), whose sum is σ = 182834568. Its totient is φ = 32786208.

The previous prime is 82909361. The next prime is 82909381. The reversal of 82909372 is 27390928.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 31873 + ... + 34375.

Almost surely, 282909372 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 82909372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91417284).

82909372 is an abundant number, since it is smaller than the sum of its proper divisors (99925196).

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

82909372 is a wasteful number, since it uses less digits than its factorization.

82909372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 82909372 is about 9105.4583629821. The cubic root of 82909372 is about 436.0482439672.

The spelling of 82909372 in words is "eighty-two million, nine hundred nine thousand, three hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 2366 2503 2548 4732 5006 8281 10012 16562 17521 32539 33124 35042 65078 70084 122647 130156 227773 245294 423007 455546 490588 846014 911092 1594411 1692028 2961049 3188822 5922098 6377644 11844196 20727343 41454686 82909372