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473289152 = 2673153643
BaseRepresentation
bin11100001101011…
…101000111000000
31012222120120122212
4130031131013000
51432130223102
6114544121252
714504614520
oct3415350700
91188516585
10473289152
11223183166
12112606228
137709226b
1446c01680
152b83dc52
hex1c35d1c0

473289152 has 112 divisors (see below), whose sum is σ = 1130637312. Its totient is φ = 192291840.

The previous prime is 473289133. The next prime is 473289181. The reversal of 473289152 is 251982374.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 735743 + ... + 736385.

It is an arithmetic number, because the mean of its divisors is an integer number (10094976).

Almost surely, 2473289152 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 473289152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565318656).

473289152 is an abundant number, since it is smaller than the sum of its proper divisors (657348160).

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

473289152 is a wasteful number, since it uses less digits than its factorization.

473289152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 736 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 473289152 is about 21755.2097668581. The cubic root of 473289152 is about 779.3074896652.

The spelling of 473289152 in words is "four hundred seventy-three million, two hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 53 56 62 64 106 112 124 212 217 224 248 371 424 434 448 496 643 742 848 868 992 1286 1484 1643 1696 1736 1984 2572 2968 3286 3392 3472 4501 5144 5936 6572 6944 9002 10288 11501 11872 13144 13888 18004 19933 20576 23002 23744 26288 34079 36008 39866 41152 46004 52576 68158 72016 79732 92008 105152 136316 139531 144032 159464 184016 238553 272632 279062 288064 318928 368032 477106 545264 558124 637856 736064 954212 1056449 1090528 1116248 1275712 1908424 2112898 2181056 2232496 3816848 4225796 4464992 7395143 7633696 8451592 8929984 14790286 15267392 16903184 29580572 33806368 59161144 67612736 118322288 236644576 473289152