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82608352 = 251927151
BaseRepresentation
bin1001110110010…
…00000011100000
312202102221100121
410323020003200
5132121431402
612110330024
72022105451
oct473100340
9182387317
1082608352
11426a2972
12237b9914
13141646a8
14ad85128
1573bb837
hex4ec80e0

82608352 has 36 divisors (see below), whose sum is σ = 171669456. Its totient is φ = 39124800.

The previous prime is 82608347. The next prime is 82608353. The reversal of 82608352 is 25380628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82608353) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7977 + ... + 15127.

It is an arithmetic number, because the mean of its divisors is an integer number (4768596).

Almost surely, 282608352 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 82608352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85834728).

82608352 is an abundant number, since it is smaller than the sum of its proper divisors (89061104).

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

82608352 is a wasteful number, since it uses less digits than its factorization.

82608352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7199 (or 7172 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 82608352 is about 9088.9136864644. The cubic root of 82608352 is about 435.5198822342.

The spelling of 82608352 in words is "eighty-two million, six hundred eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 608 722 1444 2888 5776 7151 11552 14302 28604 57208 114416 135869 228832 271738 543476 1086952 2173904 2581511 4347808 5163022 10326044 20652088 41304176 82608352