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168196824 = 2335312791
BaseRepresentation
bin10100000011001…
…11101011011000
3102201111021200000
422001213223120
5321024244244
624405013000
74111435515
oct1201475330
9381437600
10168196824
1186a40844
12483b4160
1328b00663
14184a430c
15eb76169
hexa067ad8

168196824 has 96 divisors (see below), whose sum is σ = 487818240. Its totient is φ = 54237600.

The previous prime is 168196817. The next prime is 168196829. The reversal of 168196824 is 428691861.

It is a nude number because it is divisible by every one of its digits.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 168196824 = 63 + 5523 = 973 + 5513.

It is a self number, because there is not a number n which added to its sum of digits gives 168196824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168196829) 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 23 ways as a sum of consecutive naturals, for example, 58869 + ... + 61659.

It is an arithmetic number, because the mean of its divisors is an integer number (5081440).

Almost surely, 2168196824 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 168196824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243909120).

168196824 is an abundant number, since it is smaller than the sum of its proper divisors (319621416).

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

168196824 is a wasteful number, since it uses less digits than its factorization.

168196824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2827 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 168196824 is about 12969.0718249226. The cubic root of 168196824 is about 552.0002362948. Note that the first 3 decimals are identical.

The spelling of 168196824 in words is "one hundred sixty-eight million, one hundred ninety-six thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 243 248 279 324 372 486 558 648 744 837 972 1116 1674 1944 2232 2511 2791 3348 5022 5582 6696 7533 8373 10044 11164 15066 16746 20088 22328 25119 30132 33492 50238 60264 66984 75357 86521 100476 150714 173042 200952 226071 259563 301428 346084 452142 519126 602856 678213 692168 778689 904284 1038252 1356426 1557378 1808568 2076504 2336067 2712852 3114756 4672134 5425704 6229512 7008201 9344268 14016402 18688536 21024603 28032804 42049206 56065608 84098412 168196824