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486330072 = 233372811949
BaseRepresentation
bin11100111111001…
…100111011011000
31020220010010102220
4130333030323120
51444000030242
6120131424040
715023510634
oct3477147330
91226103386
10486330072
1122a57aa88
12116a55020
13799a9c97
1448837dc4
152ca67bec
hex1cfcced8

486330072 has 64 divisors (see below), whose sum is σ = 1253772000. Its totient is φ = 157086720.

The previous prime is 486330071. The next prime is 486330133. The reversal of 486330072 is 270033684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486330071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248554 + ... + 250502.

Almost surely, 2486330072 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 486330072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626886000).

486330072 is an abundant number, since it is smaller than the sum of its proper divisors (767441928).

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

486330072 is a wasteful number, since it uses less digits than its factorization.

486330072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 486330072 is about 22052.8925993848. The cubic root of 486330072 is about 786.4003683851.

The spelling of 486330072 in words is "four hundred eighty-six million, three hundred thirty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 281 296 444 562 843 888 1124 1686 1949 2248 3372 3898 5847 6744 7796 10397 11694 15592 20794 23388 31191 41588 46776 62382 72113 83176 124764 144226 216339 249528 288452 432678 547669 576904 865356 1095338 1643007 1730712 2190676 3286014 4381352 6572028 13144056 20263753 40527506 60791259 81055012 121582518 162110024 243165036 486330072