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82373448 = 23331532089
BaseRepresentation
bin1001110100011…
…10101101001000
312202000000010110
410322032231020
5132041422243
612101314320
72020106553
oct472165510
9182000113
1082373448
1142552433
12237059a0
13140b17b1
14ad2369a
157371e33
hex4e8eb48

82373448 has 64 divisors (see below), whose sum is σ = 216691200. Its totient is φ = 26058240.

The previous prime is 82373437. The next prime is 82373453. The reversal of 82373448 is 84437328.

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 15 ways as a sum of consecutive naturals, for example, 38388 + ... + 40476.

It is an arithmetic number, because the mean of its divisors is an integer number (3385800).

Almost surely, 282373448 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 82373448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108345600).

82373448 is an abundant number, since it is smaller than the sum of its proper divisors (134317752).

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

82373448 is a wasteful number, since it uses less digits than its factorization.

82373448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2178 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 82373448 is about 9075.9819303478. The cubic root of 82373448 is about 435.1066774964.

The spelling of 82373448 in words is "eighty-two million, three hundred seventy-three thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 53 62 93 106 124 159 186 212 248 318 372 424 636 744 1272 1643 2089 3286 4178 4929 6267 6572 8356 9858 12534 13144 16712 19716 25068 39432 50136 64759 110717 129518 194277 221434 259036 332151 388554 442868 518072 664302 777108 885736 1328604 1554216 2657208 3432227 6864454 10296681 13728908 20593362 27457816 41186724 82373448