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82439370 = 2345137829
BaseRepresentation
bin1001110100111…
…10110011001010
312202010100120000
410322132303022
5132101024440
612102543430
72020503006
oct472366312
9182110500
1082439370
1142597a12
1223737b76
13141057c0
14ad3d706
157386730
hex4e9ecca

82439370 has 80 divisors (see below), whose sum is σ = 238752360. Its totient is φ = 20290176.

The previous prime is 82439351. The next prime is 82439377. The reversal of 82439370 is 7393428.

It can be written as a sum of positive squares in 4 ways, for example, as 34539129 + 47900241 = 5877^2 + 6921^2 .

It is not an unprimeable number, because it can be changed into a prime (82439377) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6616 + ... + 14444.

Almost surely, 282439370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82439370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119376180).

82439370 is an abundant number, since it is smaller than the sum of its proper divisors (156312990).

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

82439370 is a wasteful number, since it uses less digits than its factorization.

82439370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7861 (or 7852 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 82439370 is about 9079.6128772101. The cubic root of 82439370 is about 435.2227159164. Note that the first 3 decimals are identical.

The spelling of 82439370 in words is "eighty-two million, four hundred thirty-nine thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3510 5265 7829 10530 15658 23487 39145 46974 70461 78290 101777 117435 140922 203554 211383 234870 305331 352305 422766 508885 610662 634149 704610 915993 1017770 1056915 1268298 1526655 1831986 2113830 2747979 3053310 3170745 4579965 5495958 6341490 8243937 9159930 13739895 16487874 27479790 41219685 82439370