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82885376 = 287232011
BaseRepresentation
bin1001111000010…
…11101100000000
312202222000100202
410330023230000
5132204313001
612120304332
72024341220
oct474135400
9182860322
1082885376
1142872012
12239120a8
1314230802
14b018080
15742396b
hex4f0bb00

82885376 has 72 divisors (see below), whose sum is σ = 197401344. Its totient is φ = 33960960.

The previous prime is 82885373. The next prime is 82885417. The reversal of 82885376 is 67358828.

It is a super-2 number, since 2×828853762 = 13739971109322752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82885376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82885373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40211 + ... + 42221.

Almost surely, 282885376 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 82885376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98700672).

82885376 is an abundant number, since it is smaller than the sum of its proper divisors (114515968).

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

82885376 is a wasteful number, since it uses less digits than its factorization.

82885376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2043 counting only the distinct ones).

The product of its digits is 645120, while the sum is 47.

The square root of 82885376 is about 9104.1405964539. The cubic root of 82885376 is about 436.0061722326.

The spelling of 82885376 in words is "eighty-two million, eight hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 644 736 896 1288 1472 1792 2011 2576 2944 4022 5152 5888 8044 10304 14077 16088 20608 28154 32176 41216 46253 56308 64352 92506 112616 128704 185012 225232 257408 323771 370024 450464 514816 647542 740048 900928 1295084 1480096 1801856 2590168 2960192 3603712 5180336 5920384 10360672 11840768 20721344 41442688 82885376