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171942912 = 21035691
BaseRepresentation
bin10100011111110…
…10010000000000
3102222112121100000
422033322100000
5323004133122
625021200000
74155330201
oct1217722000
9388477300
10171942912
118906a289
1249700000
132981278b
1418b9b5a8
15101660ac
hexa3fa400

171942912 has 132 divisors (see below), whose sum is σ = 515614736. Its totient is φ = 57231360.

The previous prime is 171942907. The next prime is 171942931. The reversal of 171942912 is 219249171.

171942912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 248487 + ... + 249177.

Almost surely, 2171942912 is an apocalyptic number.

171942912 is a gapful number since it is divisible by the number (12) 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 171942912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257807368).

171942912 is an abundant number, since it is smaller than the sum of its proper divisors (343671824).

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

171942912 is an frugal number, since it uses more digits than its factorization.

171942912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 696 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 171942912 is about 13112.7004083827. The cubic root of 171942912 is about 556.0682420594.

The spelling of 171942912 in words is "one hundred seventy-one million, nine hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 691 768 864 972 1024 1152 1296 1382 1536 1728 1944 2073 2304 2592 2764 3072 3456 3888 4146 4608 5184 5528 6219 6912 7776 8292 9216 10368 11056 12438 13824 15552 16584 18657 20736 22112 24876 27648 31104 33168 37314 41472 44224 49752 55971 62208 66336 74628 82944 88448 99504 111942 124416 132672 149256 167913 176896 199008 223884 248832 265344 298512 335826 353792 398016 447768 530688 597024 671652 707584 796032 895536 1061376 1194048 1343304 1592064 1791072 2122752 2388096 2686608 3184128 3582144 4776192 5373216 6368256 7164288 9552384 10746432 14328576 19104768 21492864 28657152 42985728 57314304 85971456 171942912