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168253272 = 2332111091949
BaseRepresentation
bin10100000011101…
…01011101011000
3102201121011002200
422001311131120
5321033101042
624410130200
74112062215
oct1201653530
9381534080
10168253272
1186a7a1a0
1248420960
1328b20265
14184bab0c
15eb87c4c
hexa075758

168253272 has 96 divisors (see below), whose sum is σ = 501930000. Its totient is φ = 50492160.

The previous prime is 168253259. The next prime is 168253291. The reversal of 168253272 is 272352861.

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

It is a congruent number.

It is an unprimeable number.

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, 85354 + ... + 87302.

Almost surely, 2168253272 is an apocalyptic number.

168253272 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 168253272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250965000).

168253272 is an abundant number, since it is smaller than the sum of its proper divisors (333676728).

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

168253272 is a wasteful number, since it uses less digits than its factorization.

168253272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2074 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 168253272 is about 12971.2478967908. The cubic root of 168253272 is about 552.0619810679.

The spelling of 168253272 in words is "one hundred sixty-eight million, two hundred fifty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 109 132 198 218 264 327 396 436 654 792 872 981 1199 1308 1949 1962 2398 2616 3597 3898 3924 4796 5847 7194 7796 7848 9592 10791 11694 14388 15592 17541 21439 21582 23388 28776 35082 42878 43164 46776 64317 70164 85756 86328 128634 140328 171512 192951 212441 257268 385902 424882 514536 637323 771804 849764 1274646 1543608 1699528 1911969 2336851 2549292 3823938 4673702 5098584 7010553 7647876 9347404 14021106 15295752 18694808 21031659 28042212 42063318 56084424 84126636 168253272