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168542208 = 21434127
BaseRepresentation
bin10100000101111…
…00000000000000
3102202010211110000
422002330000000
5321121322313
624420240000
74114404462
oct1202740000
9382124400
10168542208
118715728a
1248540000
1328bc1923
1418554132
15ebe3673
hexa0bc000

168542208 has 150 divisors (see below), whose sum is σ = 507495296. Its totient is φ = 55738368.

The previous prime is 168542203. The next prime is 168542239. The reversal of 168542208 is 802245861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168542201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1327041 + ... + 1327167.

Almost surely, 2168542208 is an apocalyptic number.

168542208 is a gapful number since it is divisible by the number (18) 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 168542208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253747648).

168542208 is an abundant number, since it is smaller than the sum of its proper divisors (338953088).

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

168542208 is an frugal number, since it uses more digits than its factorization.

168542208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 168542208 is about 12982.3806753615. The cubic root of 168542208 is about 552.3778131826.

The spelling of 168542208 in words is "one hundred sixty-eight million, five hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 127 128 144 162 192 216 254 256 288 324 381 384 432 508 512 576 648 762 768 864 1016 1024 1143 1152 1296 1524 1536 1728 2032 2048 2286 2304 2592 3048 3072 3429 3456 4064 4096 4572 4608 5184 6096 6144 6858 6912 8128 8192 9144 9216 10287 10368 12192 12288 13716 13824 16256 16384 18288 18432 20574 20736 24384 24576 27432 27648 32512 36576 36864 41148 41472 48768 49152 54864 55296 65024 73152 73728 82296 82944 97536 109728 110592 130048 146304 147456 164592 165888 195072 219456 221184 260096 292608 329184 331776 390144 438912 442368 520192 585216 658368 663552 780288 877824 1040384 1170432 1316736 1327104 1560576 1755648 2080768 2340864 2633472 3121152 3511296 4681728 5266944 6242304 7022592 9363456 10533888 14045184 18726912 21067776 28090368 42135552 56180736 84271104 168542208