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173145472 = 2723103571
BaseRepresentation
bin10100101000111…
…11110110000000
3110001210200221021
422110133312000
5323311123342
625103035224
74201466203
oct1224376600
9401720837
10173145472
1189810835
1249b9bb14
1329b43c56
1418dd193a
1510302567
hexa51fd80

173145472 has 64 divisors (see below), whose sum is σ = 364066560. Its totient is φ = 81861120.

The previous prime is 173145463. The next prime is 173145473. The reversal of 173145472 is 274541371.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173145473) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 302947 + ... + 303517.

It is an arithmetic number, because the mean of its divisors is an integer number (5688540).

Almost surely, 2173145472 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 173145472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182033280).

173145472 is an abundant number, since it is smaller than the sum of its proper divisors (190921088).

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

173145472 is a wasteful number, since it uses less digits than its factorization.

173145472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 699 counting only the distinct ones).

The product of its digits is 23520, while the sum is 34.

The square root of 173145472 is about 13158.4752916134. The cubic root of 173145472 is about 557.3616025180.

The spelling of 173145472 in words is "one hundred seventy-three million, one hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 103 128 184 206 368 412 571 736 824 1142 1472 1648 2284 2369 2944 3296 4568 4738 6592 9136 9476 13133 13184 18272 18952 26266 36544 37904 52532 58813 73088 75808 105064 117626 151616 210128 235252 303232 420256 470504 840512 941008 1352699 1681024 1882016 2705398 3764032 5410796 7528064 10821592 21643184 43286368 86572736 173145472