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487305072 = 2434596373
BaseRepresentation
bin11101000010111…
…010111101110000
31020221221122220000
4131002322331300
51444222230242
6120204350000
715035011332
oct3502727560
91227848800
10487305072
11230086571
12117245300
1379c5b9c7
1448a0d452
152cbaba4c
hex1d0baf70

487305072 has 100 divisors (see below), whose sum is σ = 1434532440. Its totient is φ = 159656832.

The previous prime is 487305053. The next prime is 487305097. The reversal of 487305072 is 270503784.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73278 + ... + 79650.

Almost surely, 2487305072 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 487305072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717266220).

487305072 is an abundant number, since it is smaller than the sum of its proper divisors (947227368).

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

487305072 is a wasteful number, since it uses less digits than its factorization.

487305072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6452 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 487305072 is about 22074.9874745151. The cubic root of 487305072 is about 786.9255456830.

The spelling of 487305072 in words is "four hundred eighty-seven million, three hundred five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 81 108 118 144 162 177 216 236 324 354 432 472 531 648 708 944 1062 1296 1416 1593 2124 2832 3186 4248 4779 6372 6373 8496 9558 12744 12746 19116 19119 25488 25492 38232 38238 50984 57357 76464 76476 101968 114714 152952 172071 229428 305904 344142 376007 458856 516213 688284 752014 917712 1032426 1128021 1376568 1504028 2064852 2256042 2753136 3008056 3384063 4129704 4512084 6016112 6768126 8259408 9024168 10152189 13536252 18048336 20304378 27072504 30456567 40608756 54145008 60913134 81217512 121826268 162435024 243652536 487305072