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168268842 = 232721071783
BaseRepresentation
bin10100000011110…
…01010000101010
3102201121221110100
422001321100222
5321034100332
624410330230
74112155500
oct1201712052
9381557410
10168268842
1186a8a965
1248429976
1328b27381
14184c2670
15eb8c67c
hexa07942a

168268842 has 72 divisors (see below), whose sum is σ = 428309856. Its totient is φ = 47600784.

The previous prime is 168268819. The next prime is 168268843. The reversal of 168268842 is 248862861.

It is not an unprimeable number, because it can be changed into a prime (168268843) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 93483 + ... + 95265.

It is an arithmetic number, because the mean of its divisors is an integer number (5948748).

Almost surely, 2168268842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168268842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214154928).

168268842 is an abundant number, since it is smaller than the sum of its proper divisors (260041014).

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

168268842 is a wasteful number, since it uses less digits than its factorization.

168268842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1902 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 168268842 is about 12971.8480564644. The cubic root of 168268842 is about 552.0790096420.

The spelling of 168268842 in words is "one hundred sixty-eight million, two hundred sixty-eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 107 126 147 214 294 321 441 642 749 882 963 1498 1783 1926 2247 3566 4494 5243 5349 6741 10486 10698 12481 13482 15729 16047 24962 31458 32094 37443 47187 74886 87367 94374 112329 174734 190781 224658 262101 381562 524202 572343 786303 1144686 1335467 1572606 1717029 2670934 3434058 4006401 8012802 9348269 12019203 18696538 24038406 28044807 56089614 84134421 168268842