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168331392 = 273353919
BaseRepresentation
bin10100000100010…
…00100010000000
3102201202010021000
422002020202000
5321043101032
624411532000
74112536035
oct1202104200
9381663230
10168331392
1187022959
124845a000
1328b49998
14184db38c
15eba0e7c
hexa088880

168331392 has 128 divisors (see below), whose sum is σ = 506736000. Its totient is φ = 54991872.

The previous prime is 168331381. The next prime is 168331451. The reversal of 168331392 is 293133861.

It is a tau number, because it is divible by the number of its divisors (128).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182709 + ... + 183627.

It is an arithmetic number, because the mean of its divisors is an integer number (3958875).

Almost surely, 2168331392 is an apocalyptic number.

168331392 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 168331392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253368000).

168331392 is an abundant number, since it is smaller than the sum of its proper divisors (338404608).

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

168331392 is an equidigital number, since it uses as much as digits as its factorization.

168331392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 977 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 168331392 is about 12974.2588227613. The cubic root of 168331392 is about 552.1474086469.

It can be divided in two parts, 16833 and 1392, that added together give a square (18225 = 1352).

The spelling of 168331392 in words is "one hundred sixty-eight million, three hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 128 144 159 192 212 216 288 318 384 424 432 477 576 636 848 864 919 954 1152 1272 1431 1696 1728 1838 1908 2544 2757 2862 3392 3456 3676 3816 5088 5514 5724 6784 7352 7632 8271 10176 11028 11448 14704 15264 16542 20352 22056 22896 24813 29408 30528 33084 44112 45792 48707 49626 58816 61056 66168 88224 91584 97414 99252 117632 132336 146121 176448 183168 194828 198504 264672 292242 352896 389656 397008 438363 529344 584484 779312 794016 876726 1058688 1168968 1315089 1558624 1588032 1753452 2337936 2630178 3117248 3176064 3506904 4675872 5260356 6234496 7013808 9351744 10520712 14027616 18703488 21041424 28055232 42082848 56110464 84165696 168331392