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471290112 = 2832593467
BaseRepresentation
bin11100000101110…
…101000100000000
31012211211000111100
4130011311010000
51431122240422
6114433214400
714451620436
oct3405650400
91184730440
10471290112
11222038267
12111a01400
13768423b7
1446840d56
152b5967ac
hex1c175100

471290112 has 108 divisors (see below), whose sum is σ = 1382275440. Its totient is φ = 154389504.

The previous prime is 471290089. The next prime is 471290143. The reversal of 471290112 is 211092174.

It is a super-2 number, since 2×4712901122 = 444228739337945088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134203 + ... + 137669.

Almost surely, 2471290112 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 471290112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691137720).

471290112 is an abundant number, since it is smaller than the sum of its proper divisors (910985328).

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

471290112 is a wasteful number, since it uses less digits than its factorization.

471290112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3548 (or 3531 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 471290112 is about 21709.2172129720. The cubic root of 471290112 is about 778.2087495477.

The spelling of 471290112 in words is "four hundred seventy-one million, two hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 256 288 354 384 472 531 576 708 768 944 1062 1152 1416 1888 2124 2304 2832 3467 3776 4248 5664 6934 7552 8496 10401 11328 13868 15104 16992 20802 22656 27736 31203 33984 41604 45312 55472 62406 67968 83208 110944 124812 135936 166416 204553 221888 249624 332832 409106 443776 499248 613659 665664 818212 887552 998496 1227318 1331328 1636424 1840977 1996992 2454636 2662656 3272848 3681954 3993984 4909272 6545696 7363908 7987968 9818544 13091392 14727816 19637088 26182784 29455632 39274176 52365568 58911264 78548352 117822528 157096704 235645056 471290112