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171043056 = 24333171249
BaseRepresentation
bin10100011000111…
…10100011110000
3102220211212222000
422030132203300
5322241334211
624550014000
74144561542
oct1214364360
9386755860
10171043056
11886051a8
1249347300
1329589012
1418a05692
1510039656
hexa31e8f0

171043056 has 80 divisors (see below), whose sum is σ = 492900000. Its totient is φ = 56788992.

The previous prime is 171043043. The next prime is 171043063. The reversal of 171043056 is 650340171.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 136320 + ... + 137568.

It is an arithmetic number, because the mean of its divisors is an integer number (6161250).

Almost surely, 2171043056 is an apocalyptic number.

171043056 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 171043056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246450000).

171043056 is an abundant number, since it is smaller than the sum of its proper divisors (321856944).

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

171043056 is a wasteful number, since it uses less digits than its factorization.

171043056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 171043056 is about 13078.3430143119. The cubic root of 171043056 is about 555.0964916234.

The spelling of 171043056 in words is "one hundred seventy-one million, forty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 317 432 634 951 1249 1268 1902 2498 2536 2853 3747 3804 4996 5072 5706 7494 7608 8559 9992 11241 11412 14988 15216 17118 19984 22482 22824 29976 33723 34236 44964 45648 59952 67446 68472 89928 134892 136944 179856 269784 395933 539568 791866 1187799 1583732 2375598 3167464 3563397 4751196 6334928 7126794 9502392 10690191 14253588 19004784 21380382 28507176 42760764 57014352 85521528 171043056