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38460132 = 22324171367
BaseRepresentation
bin1001001010110…
…1101011100100
32200100222101100
42102231223210
534321211012
63452200100
7644622444
oct222555344
980328340
1038460132
111a789737
1210a69030
137c77999
145172124
15359a8dc
hex24adae4

38460132 has 72 divisors (see below), whose sum is σ = 101267712. Its totient is φ = 12297600.

The previous prime is 38460109. The next prime is 38460143. The reversal of 38460132 is 23106483.

It is a happy number.

38460132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38460096 and 38460105.

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, 104613 + ... + 104979.

It is an arithmetic number, because the mean of its divisors is an integer number (1406496).

Almost surely, 238460132 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 38460132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50633856).

38460132 is an abundant number, since it is smaller than the sum of its proper divisors (62807580).

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

38460132 is a wasteful number, since it uses less digits than its factorization.

38460132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 38460132 is about 6201.6233358694. The cubic root of 38460132 is about 337.5490759911.

It can be divided in two parts, 384 and 60132, that added together give a square (60516 = 2462).

The spelling of 38460132 in words is "thirty-eight million, four hundred sixty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 71 82 123 142 164 213 246 284 367 369 426 492 639 734 738 852 1101 1278 1468 1476 2202 2556 2911 3303 4404 5822 6606 8733 11644 13212 15047 17466 26057 26199 30094 34932 45141 52114 52398 60188 78171 90282 104228 104796 135423 156342 180564 234513 270846 312684 469026 541692 938052 1068337 2136674 3205011 4273348 6410022 9615033 12820044 19230066 38460132