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84082368 = 2632915101
BaseRepresentation
bin1010000001011…
…11111011000000
312212012211022210
411000233323000
5133011113433
612202102120
72040455046
oct500577300
9185184283
1084082368
114350a367
12241aa940
131455c5a6
14b24a396
1575ad463
hex502fec0

84082368 has 56 divisors (see below), whose sum is σ = 230154480. Its totient is φ = 27059200.

The previous prime is 84082367. The next prime is 84082381. The reversal of 84082368 is 86328048.

It is not an unprimeable number, because it can be changed into a prime (84082367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1983 + ... + 13118.

Almost surely, 284082368 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 84082368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115077240).

84082368 is an abundant number, since it is smaller than the sum of its proper divisors (146072112).

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

84082368 is a wasteful number, since it uses less digits than its factorization.

84082368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15145 (or 15135 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 84082368 is about 9169.6438316872. The cubic root of 84082368 is about 438.0950149367.

The spelling of 84082368 in words is "eighty-four million, eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 15101 30202 45303 60404 90606 120808 181212 241616 362424 437929 483232 724848 875858 966464 1313787 1449696 1751716 2627574 2899392 3503432 5255148 7006864 10510296 14013728 21020592 28027456 42041184 84082368