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173405056 = 27111071151
BaseRepresentation
bin10100101010111…
…11001110000000
3110002021220000111
422111133032000
5323342430211
625112401104
74203630046
oct1225371600
9402256014
10173405056
1189978870
124a0a6194
1329c05156
141905c396
1510354421
hexa55f380

173405056 has 64 divisors (see below), whose sum is σ = 380712960. Its totient is φ = 78016000.

The previous prime is 173405053. The next prime is 173405081. The reversal of 173405056 is 650504371.

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

It is a super-4 number, since 4×1734050564 (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173405053) 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, 150081 + ... + 151231.

It is an arithmetic number, because the mean of its divisors is an integer number (5948640).

Almost surely, 2173405056 is an apocalyptic number.

173405056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 173405056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190356480).

173405056 is an abundant number, since it is smaller than the sum of its proper divisors (207307904).

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

173405056 is a wasteful number, since it uses less digits than its factorization.

173405056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 173405056 is about 13168.3353541744. The cubic root of 173405056 is about 557.6400002318.

The spelling of 173405056 in words is "one hundred seventy-three million, four hundred five thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 107 128 176 214 352 428 704 856 1151 1177 1408 1712 2302 2354 3424 4604 4708 6848 9208 9416 12661 13696 18416 18832 25322 36832 37664 50644 73664 75328 101288 123157 147328 150656 202576 246314 405152 492628 810304 985256 1354727 1620608 1970512 2709454 3941024 5418908 7882048 10837816 15764096 21675632 43351264 86702528 173405056