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473265312 = 253131722307
BaseRepresentation
bin11100001101010…
…111010010100000
31012222112100221220
4130031113102200
51432123442222
6114543415040
714504455152
oct3415272240
91188470856
10473265312
11223167263
121125b4480
1377084460
1446bd6ad2
152b836b5c
hex1c3574a0

473265312 has 96 divisors (see below), whose sum is σ = 1416647232. Its totient is φ = 137048064.

The previous prime is 473265283. The next prime is 473265343. The reversal of 473265312 is 213562374.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 10063 + ... + 32369.

It is an arithmetic number, because the mean of its divisors is an integer number (14756742).

Almost surely, 2473265312 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 473265312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708323616).

473265312 is an abundant number, since it is smaller than the sum of its proper divisors (943381920).

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

473265312 is a wasteful number, since it uses less digits than its factorization.

473265312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22350 (or 22342 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 473265312 is about 21754.6618452230. The cubic root of 473265312 is about 779.2944046393.

The spelling of 473265312 in words is "four hundred seventy-three million, two hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 312 408 416 442 544 624 663 816 884 1248 1326 1632 1768 2652 3536 5304 7072 10608 21216 22307 44614 66921 89228 133842 178456 267684 289991 356912 379219 535368 579982 713824 758438 869973 1070736 1137657 1159964 1516876 1739946 2141472 2275314 2319928 3033752 3479892 4550628 4639856 4929847 6067504 6959784 9101256 9279712 9859694 12135008 13919568 14789541 18202512 19719388 27839136 29579082 36405024 39438776 59158164 78877552 118316328 157755104 236632656 473265312