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82652336 = 24131572531
BaseRepresentation
bin1001110110100…
…10110010110000
312202112011200122
410323102302300
5132124333321
612111305412
72022350624
oct473226260
9182464618
1082652336
1142722a18
122381b268
131417b710
14ad97184
1573c98ab
hex4ed2cb0

82652336 has 40 divisors (see below), whose sum is σ = 173624304. Its totient is φ = 37889280.

The previous prime is 82652329. The next prime is 82652393. The reversal of 82652336 is 63325628.

It is a junction number, because it is equal to n+sod(n) for n = 82652296 and 82652305.

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 7 ways as a sum of consecutive naturals, for example, 31391 + ... + 33921.

Almost surely, 282652336 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 82652336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86812152).

82652336 is an abundant number, since it is smaller than the sum of its proper divisors (90971968).

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

82652336 is a wasteful number, since it uses less digits than its factorization.

82652336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2703 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

The square root of 82652336 is about 9091.3330155704. Note that the first 3 decimals coincide. The cubic root of 82652336 is about 435.5971646044.

It can be divided in two parts, 8265 and 2336, that added together give a palindrome (10601).

The spelling of 82652336 in words is "eighty-two million, six hundred fifty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 157 208 314 628 1256 2041 2512 2531 4082 5062 8164 10124 16328 20248 32656 32903 40496 65806 131612 263224 397367 526448 794734 1589468 3178936 5165771 6357872 10331542 20663084 41326168 82652336