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80642048 = 21523107
BaseRepresentation
bin1001100111010…
…00000000000000
312121202001002112
410303220000000
5131121021143
612000234452
71666306004
oct463500000
9177661075
1080642048
114157a623
122300ba28
13139266b6
14a9d2704
15712de18
hex4ce8000

80642048 has 64 divisors (see below), whose sum is σ = 169866720. Its totient is φ = 38207488.

The previous prime is 80642041. The next prime is 80642059. The reversal of 80642048 is 84024608.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (80642041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 753611 + ... + 753717.

Almost surely, 280642048 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 80642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84933360).

80642048 is an abundant number, since it is smaller than the sum of its proper divisors (89224672).

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

80642048 is an equidigital number, since it uses as much as digits as its factorization.

80642048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 80642048 is about 8980.0917589967. The cubic root of 80642048 is about 432.0365766927.

The spelling of 80642048 in words is "eighty million, six hundred forty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 107 128 184 214 256 368 428 512 736 856 1024 1472 1712 2048 2461 2944 3424 4096 4922 5888 6848 8192 9844 11776 13696 16384 19688 23552 27392 32768 39376 47104 54784 78752 94208 109568 157504 188416 219136 315008 376832 438272 630016 753664 876544 1260032 1753088 2520064 3506176 5040128 10080256 20160512 40321024 80642048