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80044008 = 23311476451
BaseRepresentation
bin1001100010101…
…01111111101000
312120121122201220
410301111333220
5130442402013
611535342040
71661235312
oct461257750
9176548656
1080044008
1141201280
1222981920
1313777425
14a8b87b2
157061b23
hex4c55fe8

80044008 has 64 divisors (see below), whose sum is σ = 222981120. Its totient is φ = 23736000.

The previous prime is 80044001. The next prime is 80044009.

80044008 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (80044001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9183 + ... + 15633.

It is an arithmetic number, because the mean of its divisors is an integer number (3484080).

Almost surely, 280044008 is an apocalyptic number.

80044008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80044008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111490560).

80044008 is an abundant number, since it is smaller than the sum of its proper divisors (142937112).

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

80044008 is a wasteful number, since it uses less digits than its factorization.

80044008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6518 (or 6514 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 80044008 is about 8946.7316937528. The cubic root of 80044008 is about 430.9659338245.

The spelling of 80044008 in words is "eighty million, forty-four thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1551 2068 3102 4136 6204 6451 12408 12902 19353 25804 38706 51608 70961 77412 141922 154824 212883 283844 303197 425766 567688 606394 851532 909591 1212788 1703064 1819182 2425576 3335167 3638364 6670334 7276728 10005501 13340668 20011002 26681336 40022004 80044008