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82528344 = 23321935939
BaseRepresentation
bin1001110101101…
…00100001011000
312202021212121100
410322310201120
5132111401334
612104511400
72021323263
oct472644130
9182255540
1082528344
1142648848
122377b560
1314137152
14ad63cda
1573a2c99
hex4eb4858

82528344 has 48 divisors (see below), whose sum is σ = 224710200. Its totient is φ = 27362304.

The previous prime is 82528337. The next prime is 82528349. The reversal of 82528344 is 44382528.

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

82528344 is a Rhonda number in base 10.

Its product of digits (61440) is a multiple of the sum of its prime factors (6144).

It is a junction number, because it is equal to n+sod(n) for n = 82528299 and 82528308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82528349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10927 + ... + 16865.

Almost surely, 282528344 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 82528344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112355100).

82528344 is an abundant number, since it is smaller than the sum of its proper divisors (142181856).

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

82528344 is a wasteful number, since it uses less digits than its factorization.

82528344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6144 (or 6137 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 82528344 is about 9084.5112141491. The cubic root of 82528344 is about 435.3792332992.

The spelling of 82528344 in words is "eighty-two million, five hundred twenty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 772 1158 1544 1737 2316 3474 4632 5939 6948 11878 13896 17817 23756 35634 47512 53451 71268 106902 142536 213804 427608 1146227 2292454 3438681 4584908 6877362 9169816 10316043 13754724 20632086 27509448 41264172 82528344