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80689248 = 2532503557
BaseRepresentation
bin1001100111100…
…11100001100000
312121211102211200
410303303201200
5131124023443
612001241200
71666563423
oct463634140
9177742750
1080689248
1141602032
1223033200
1313942023
14aa059ba
15713cdd3
hex4cf3860

80689248 has 72 divisors (see below), whose sum is σ = 230329008. Its totient is φ = 26794752.

The previous prime is 80689237. The next prime is 80689253. The reversal of 80689248 is 84298608.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144586 + ... + 145142.

It is an arithmetic number, because the mean of its divisors is an integer number (3199014).

Almost surely, 280689248 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 80689248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115164504).

80689248 is an abundant number, since it is smaller than the sum of its proper divisors (149639760).

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

80689248 is a wasteful number, since it uses less digits than its factorization.

80689248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 80689248 is about 8982.7194100673. The cubic root of 80689248 is about 432.1208509627.

The spelling of 80689248 in words is "eighty million, six hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 503 557 1006 1114 1509 1671 2012 2228 3018 3342 4024 4456 4527 5013 6036 6684 8048 8912 9054 10026 12072 13368 16096 17824 18108 20052 24144 26736 36216 40104 48288 53472 72432 80208 144864 160416 280171 560342 840513 1120684 1681026 2241368 2521539 3362052 4482736 5043078 6724104 8965472 10086156 13448208 20172312 26896416 40344624 80689248