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82554840 = 23325435333
BaseRepresentation
bin1001110101110…
…10111111011000
312202100012221200
410322322333120
5132113223330
612105234200
72021463444
oct472727730
9182305850
1082554840
1142666745
1223792960
1314146224
14ad6d824
1573aaa60
hex4ebafd8

82554840 has 96 divisors (see below), whose sum is σ = 274594320. Its totient is φ = 21498624.

The previous prime is 82554827. The next prime is 82554847. The reversal of 82554840 is 4845528.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82554795 and 82554804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82554847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12814 + ... + 18146.

Almost surely, 282554840 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 82554840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137297160).

82554840 is an abundant number, since it is smaller than the sum of its proper divisors (192039480).

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

82554840 is a wasteful number, since it uses less digits than its factorization.

82554840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5393 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 82554840 is about 9085.9694034264. The cubic root of 82554840 is about 435.4258216319.

The spelling of 82554840 in words is "eighty-two million, five hundred fifty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3870 5160 5333 7740 10666 15480 15999 21332 26665 31998 42664 47997 53330 63996 79995 95994 106660 127992 159990 191988 213320 229319 239985 319980 383976 458638 479970 639960 687957 917276 959940 1146595 1375914 1834552 1919880 2063871 2293190 2751828 3439785 4127742 4586380 5503656 6879570 8255484 9172760 10319355 13759140 16510968 20638710 27518280 41277420 82554840