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80093088 = 2532318971
BaseRepresentation
bin1001100011000…
…01111110100000
312120201011001200
410301201332200
5131000434323
611540401200
71661531355
oct461417640
9176634050
1080093088
1141235139
12229a6200
131379387a
14a8cc62c
157071443
hex4c61fa0

80093088 has 72 divisors (see below), whose sum is σ = 235138176. Its totient is φ = 25833600.

The previous prime is 80093087. The next prime is 80093093. The reversal of 80093088 is 88039008.

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

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

It is not an unprimeable number, because it can be changed into a prime (80093087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4443 + ... + 13413.

It is an arithmetic number, because the mean of its divisors is an integer number (3265808).

Almost surely, 280093088 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 80093088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117569088).

80093088 is an abundant number, since it is smaller than the sum of its proper divisors (155045088).

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

80093088 is a wasteful number, since it uses less digits than its factorization.

80093088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9018 (or 9007 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 80093088 is about 8949.4741744976. The cubic root of 80093088 is about 431.0539999057.

The spelling of 80093088 in words is "eighty million, ninety-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 8971 17942 26913 35884 53826 71768 80739 107652 143536 161478 215304 278101 287072 322956 430608 556202 645912 834303 861216 1112404 1291824 1668606 2224808 2502909 2583648 3337212 4449616 5005818 6674424 8899232 10011636 13348848 20023272 26697696 40046544 80093088