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80974404 = 223673967
BaseRepresentation
bin1001101001110…
…01001001000100
312122100221000000
410310321021010
5131212140104
612011321300
72002161660
oct464711104
9178327000
1080974404
11417872a5
1223150230
1313a11a64
14aa7b8a0
157197639
hex4d39244

80974404 has 84 divisors (see below), whose sum is σ = 242873344. Its totient is φ = 23129712.

The previous prime is 80974393. The next prime is 80974423. The reversal of 80974404 is 40447908.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 18429 + ... + 22395.

Almost surely, 280974404 is an apocalyptic number.

80974404 is a gapful number since it is divisible by the number (84) 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 80974404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121436672).

80974404 is an abundant number, since it is smaller than the sum of its proper divisors (161898940).

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

80974404 is a wasteful number, since it uses less digits than its factorization.

80974404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 80974404 is about 8998.5778876442. The cubic root of 80974404 is about 432.6292912044.

The spelling of 80974404 in words is "eighty million, nine hundred seventy-four thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2268 2916 3402 3967 5103 6804 7934 10206 11901 15868 20412 23802 27769 35703 47604 55538 71406 83307 107109 111076 142812 166614 214218 249921 321327 333228 428436 499842 642654 749763 963981 999684 1285308 1499526 1927962 2249289 2891943 2999052 3855924 4498578 5783886 6747867 8997156 11567772 13495734 20243601 26991468 40487202 80974404