Search a number
-
+
80192024 = 23112372239
BaseRepresentation
bin1001100011110…
…10001000011000
312120220011202222
410301322020120
5131012121044
611542443212
71662422663
oct461721030
9176804688
1080192024
11412a2500
1222a33508
13137c9903
14a9166da
1570908ee
hex4c7a218

80192024 has 48 divisors (see below), whose sum is σ = 169814400. Its totient is φ = 35449920.

The previous prime is 80191999. The next prime is 80192039. The reversal of 80192024 is 42029108.

It is a Cunningham number, because it is equal to 89552-1.

It is a junction number, because it is equal to n+sod(n) for n = 80191984 and 80192002.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 34697 + ... + 36935.

It is an arithmetic number, because the mean of its divisors is an integer number (3537800).

Almost surely, 280192024 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 80192024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84907200).

80192024 is an abundant number, since it is smaller than the sum of its proper divisors (89622376).

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

80192024 is a wasteful number, since it uses less digits than its factorization.

80192024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 80192024 is about 8954.9999441653. Note that the first 4 decimals coincide. The cubic root of 80192024 is about 431.2314151761.

The spelling of 80192024 in words is "eighty million, one hundred ninety-two thousand, twenty-four".

Divisors: 1 2 4 8 11 22 37 44 74 88 121 148 242 296 407 484 814 968 1628 2239 3256 4477 4478 8954 8956 17908 17912 24629 35816 49258 82843 98516 165686 197032 270919 331372 541838 662744 911273 1083676 1822546 2167352 3645092 7290184 10024003 20048006 40096012 80192024