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80442756 = 22324747543
BaseRepresentation
bin1001100101101…
…11010110000100
312121100220201100
410302313112010
5131043132011
611552100100
71664515662
oct462672604
9177326640
1080442756
1141453919
1222b34630
1313886a84
14a97dc32
1570ded56
hex4cb7584

80442756 has 36 divisors (see below), whose sum is σ = 207672192. Its totient is φ = 26243184.

The previous prime is 80442749. The next prime is 80442757. The reversal of 80442756 is 65724408.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 80442756.

It is not an unprimeable number, because it can be changed into a prime (80442757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22080 + ... + 25463.

It is an arithmetic number, because the mean of its divisors is an integer number (5768672).

Almost surely, 280442756 is an apocalyptic number.

It is an amenable number.

80442756 is an abundant number, since it is smaller than the sum of its proper divisors (127229436).

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

80442756 is a wasteful number, since it uses less digits than its factorization.

80442756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47600 (or 47595 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 80442756 is about 8968.9885717398. The cubic root of 80442756 is about 431.6803834450.

The spelling of 80442756 in words is "eighty million, four hundred forty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 47543 95086 142629 190172 285258 427887 570516 855774 1711548 2234521 4469042 6703563 8938084 13407126 20110689 26814252 40221378 80442756