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82015296 = 2631138833
BaseRepresentation
bin1001110001101…
…11010001000000
312201022210211120
410320313101000
5131443442141
612045512240
72014055436
oct470672100
9181283746
1082015296
1142328340
1223572680
1313cb777c
14ac6cd56
157300c66
hex4e37440

82015296 has 56 divisors (see below), whose sum is σ = 236732064. Its totient is φ = 24852480.

The previous prime is 82015247. The next prime is 82015313. The reversal of 82015296 is 69251028.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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, 17305 + ... + 21528.

Almost surely, 282015296 is an apocalyptic number.

It is an amenable number.

82015296 is an abundant number, since it is smaller than the sum of its proper divisors (154716768).

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

82015296 is a wasteful number, since it uses less digits than its factorization.

82015296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38859 (or 38849 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 82015296 is about 9056.2296790662. The cubic root of 82015296 is about 434.4751603888.

The spelling of 82015296 in words is "eighty-two million, fifteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 38833 77666 116499 155332 232998 310664 427163 465996 621328 854326 931992 1242656 1281489 1708652 1863984 2485312 2562978 3417304 3727968 5125956 6834608 7455936 10251912 13669216 20503824 27338432 41007648 82015296