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168396288 = 293176449
BaseRepresentation
bin10100000100110…
…00011000000000
3102201212102021120
422002120120000
5321102140123
624413152240
74113226164
oct1202303000
9381772246
10168396288
1187067695
124848b680
1328b70398
1418516ca4
15ebb52e3
hexa098600

168396288 has 80 divisors (see below), whose sum is σ = 475081200. Its totient is φ = 52822016.

The previous prime is 168396269. The next prime is 168396289. The reversal of 168396288 is 882693861.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 168396288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168396289) 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 7 ways as a sum of consecutive naturals, for example, 22888 + ... + 29336.

It is an arithmetic number, because the mean of its divisors is an integer number (5938515).

Almost surely, 2168396288 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 168396288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237540600).

168396288 is an abundant number, since it is smaller than the sum of its proper divisors (306684912).

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

168396288 is an equidigital number, since it uses as much as digits as its factorization.

168396288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6487 (or 6471 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The square root of 168396288 is about 12976.7595338744. The cubic root of 168396288 is about 552.2183551176.

The spelling of 168396288 in words is "one hundred sixty-eight million, three hundred ninety-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1632 2176 3264 4352 6449 6528 8704 12898 13056 19347 25796 26112 38694 51592 77388 103184 109633 154776 206368 219266 309552 328899 412736 438532 619104 657798 825472 877064 1238208 1315596 1650944 1754128 2476416 2631192 3301888 3508256 4952832 5262384 7016512 9905664 10524768 14033024 21049536 28066048 42099072 56132096 84198144 168396288