Search a number
-
+
80692050 = 235219231231
BaseRepresentation
bin1001100111101…
…00001101010010
312121211120200110
410303310031102
5131124121200
612001302150
71666604535
oct463641522
9177746613
1080692050
114160414a
1223034956
131394339a
14aa06a1c
15713db50
hex4cf4352

80692050 has 96 divisors (see below), whose sum is σ = 219985920. Its totient is φ = 19483200.

The previous prime is 80692049. The next prime is 80692093. The reversal of 80692050 is 5029608.

It is a super-2 number, since 2×806920502 = 13022413866405000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 80691999 and 80692017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64935 + ... + 66165.

It is an arithmetic number, because the mean of its divisors is an integer number (2291520).

Almost surely, 280692050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80692050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109992960).

80692050 is an abundant number, since it is smaller than the sum of its proper divisors (139293870).

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

80692050 is a wasteful number, since it uses less digits than its factorization.

80692050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 80692050 is about 8982.8753748452. The cubic root of 80692050 is about 432.1258528213.

The spelling of 80692050 in words is "eighty million, six hundred ninety-two thousand, fifty".

Divisors: 1 2 3 5 6 10 15 19 23 25 30 38 46 50 57 69 75 95 114 115 138 150 190 230 285 345 437 475 570 575 690 874 950 1150 1231 1311 1425 1725 2185 2462 2622 2850 3450 3693 4370 6155 6555 7386 10925 12310 13110 18465 21850 23389 28313 30775 32775 36930 46778 56626 61550 65550 70167 84939 92325 116945 140334 141565 169878 184650 233890 283130 350835 424695 537947 584725 701670 707825 849390 1075894 1169450 1415650 1613841 1754175 2123475 2689735 3227682 3508350 4246950 5379470 8069205 13448675 16138410 26897350 40346025 80692050