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473193216 = 2832593
BaseRepresentation
bin11100001101000…
…101101100000000
31012222101201001200
4130031011230000
51432114140331
6114542101200
714504035026
oct3415055400
91188351050
10473193216
11223118081
1211257a800
137705a6b2
1446bb8716
152b8205e6
hex1c345b00

473193216 has 108 divisors (see below), whose sum is σ = 1387855560. Its totient is φ = 155057664.

The previous prime is 473193197. The next prime is 473193221. The reversal of 473193216 is 612391374.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8020195 + ... + 8020253.

Almost surely, 2473193216 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 473193216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693927780).

473193216 is an abundant number, since it is smaller than the sum of its proper divisors (914662344).

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

473193216 is an frugal number, since it uses more digits than its factorization.

473193216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 64 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 473193216 is about 21753.0047579639. The cubic root of 473193216 is about 779.2548307391.

473193216 divided by its sum of digits (36) gives a cube (13144256 = 2363).

The spelling of 473193216 in words is "four hundred seventy-three million, one hundred ninety-three thousand, two hundred sixteen".

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 3481 3776 4248 5664 6962 7552 8496 10443 11328 13924 15104 16992 20886 22656 27848 31329 33984 41772 45312 55696 62658 67968 83544 111392 125316 135936 167088 205379 222784 250632 334176 410758 445568 501264 616137 668352 821516 891136 1002528 1232274 1336704 1643032 1848411 2005056 2464548 2673408 3286064 3696822 4010112 4929096 6572128 7393644 8020224 9858192 13144256 14787288 19716384 26288512 29574576 39432768 52577024 59149152 78865536 118298304 157731072 236596608 473193216