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80589984 = 2531575347
BaseRepresentation
bin1001100110110…
…11010010100000
312121122101200020
410303123102200
5131112334414
611555153440
71666001136
oct463332240
9177571606
1080589984
11415444a2
1222ba5880
1313908aa7
14a9bb756
15711d7a9
hex4cdb4a0

80589984 has 48 divisors (see below), whose sum is σ = 212935968. Its totient is φ = 26687232.

The previous prime is 80589947. The next prime is 80589989. The reversal of 80589984 is 48998508.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×805899842 = 12989491042240512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (80589989) 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, 12399 + ... + 17745.

It is an arithmetic number, because the mean of its divisors is an integer number (4436166).

Almost surely, 280589984 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 80589984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106467984).

80589984 is an abundant number, since it is smaller than the sum of its proper divisors (132345984).

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

80589984 is a wasteful number, since it uses less digits than its factorization.

80589984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5517 (or 5509 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The square root of 80589984 is about 8977.1924341634. The cubic root of 80589984 is about 431.9435797373.

The spelling of 80589984 in words is "eighty million, five hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1884 2512 3768 5024 5347 7536 10694 15072 16041 21388 32082 42776 64164 85552 128328 171104 256656 513312 839479 1678958 2518437 3357916 5036874 6715832 10073748 13431664 20147496 26863328 40294992 80589984