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80468973 = 321317231759
BaseRepresentation
bin1001100101111…
…01101111101101
312121102020200100
410302331233231
5131100001343
611552421313
71664655264
oct462755755
9177366610
1080468973
1141471592
1222b47839
13138959a0
14a9895db
1570e79d3
hex4cbdbed

80468973 has 48 divisors (see below), whose sum is σ = 138378240. Its totient is φ = 44554752.

The previous prime is 80468959. The next prime is 80469031. The reversal of 80468973 is 37986408.

It is a happy number.

It is not a de Polignac number, because 80468973 - 26 = 80468909 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80460973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44868 + ... + 46626.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 280468973 is an apocalyptic number.

It is an amenable number.

80468973 is a deficient number, since it is larger than the sum of its proper divisors (57909267).

80468973 is a wasteful number, since it uses less digits than its factorization.

80468973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 80468973 is about 8970.4499887129. The cubic root of 80468973 is about 431.7272744928.

The spelling of 80468973 in words is "eighty million, four hundred sixty-eight thousand, nine hundred seventy-three".

Divisors: 1 3 9 13 17 23 39 51 69 117 153 207 221 299 391 663 897 1173 1759 1989 2691 3519 5083 5277 15249 15831 22867 29903 40457 45747 68601 89709 121371 205803 269127 364113 388739 525941 687769 1166217 1577823 2063307 3498651 4733469 6189921 8940997 26822991 80468973