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80988984 = 23381543
BaseRepresentation
bin1001101001111…
…00101100111000
312122101200000000
410310330230320
5131213121414
612011513000
72002252326
oct464745470
9178350000
1080988984
114179724a
1223158760
1313a1859b
14aa82d16
15719bb09
hex4d3cb38

80988984 has 72 divisors (see below), whose sum is σ = 227917560. Its totient is φ = 26978832.

The previous prime is 80988979. The next prime is 80988989. The reversal of 80988984 is 48988908.

It is an interprime number because it is at equal distance from previous prime (80988979) and next prime (80988989).

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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 80988984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80988989) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51717 + ... + 53259.

Almost surely, 280988984 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 80988984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113958780).

80988984 is an abundant number, since it is smaller than the sum of its proper divisors (146928576).

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

80988984 is an equidigital number, since it uses as much as digits as its factorization.

80988984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 80988984 is about 8999.3879791906. The cubic root of 80988984 is about 432.6552556088.

The spelling of 80988984 in words is "eighty million, nine hundred eighty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1543 1944 2187 2916 3086 4374 4629 5832 6172 6561 8748 9258 12344 13122 13887 17496 18516 26244 27774 37032 41661 52488 55548 83322 111096 124983 166644 249966 333288 374949 499932 749898 999864 1124847 1499796 2249694 2999592 3374541 4499388 6749082 8998776 10123623 13498164 20247246 26996328 40494492 80988984