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82354122 = 23223672969
BaseRepresentation
bin1001110100010…
…01111111001010
312201222000121200
410322021333022
5132040312442
612101045030
72016666324
oct472117712
9181860550
1082354122
1142539964
12236b6776
13140a5a66
14ad1a614
15736b34c
hex4e89fca

82354122 has 48 divisors (see below), whose sum is σ = 189034560. Its totient is φ = 25857216.

The previous prime is 82354079. The next prime is 82354127. The reversal of 82354122 is 22145328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82354127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26254 + ... + 29222.

It is an arithmetic number, because the mean of its divisors is an integer number (3938220).

Almost surely, 282354122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82354122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94517280).

82354122 is an abundant number, since it is smaller than the sum of its proper divisors (106680438).

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

82354122 is a wasteful number, since it uses less digits than its factorization.

82354122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3064 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 82354122 is about 9074.9171897048. The cubic root of 82354122 is about 435.0726473991.

It can be divided in two parts, 823 and 54122, that added together give a palindrome (54945).

The spelling of 82354122 in words is "eighty-two million, three hundred fifty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 67 69 134 138 201 207 402 414 603 1206 1541 2969 3082 4623 5938 8907 9246 13869 17814 26721 27738 53442 68287 136574 198923 204861 397846 409722 596769 614583 1193538 1229166 1790307 3580614 4575229 9150458 13725687 27451374 41177061 82354122