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38458140 = 223572103127
BaseRepresentation
bin1001001010110…
…1001100011100
32200100212122120
42102231030130
534321130030
63452142540
7644613600
oct222551434
980325576
1038458140
111a788196
1210a67a50
137c76ac6
145171500
15359a010
hex24ad31c

38458140 has 144 divisors (see below), whose sum is σ = 127475712. Its totient is φ = 8636544.

The previous prime is 38458129. The next prime is 38458153. The reversal of 38458140 is 4185483.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302757 + ... + 302883.

It is an arithmetic number, because the mean of its divisors is an integer number (885248).

Almost surely, 238458140 is an apocalyptic number.

38458140 is a gapful number since it is divisible by the number (30) 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 38458140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63737856).

38458140 is an abundant number, since it is smaller than the sum of its proper divisors (89017572).

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

38458140 is a wasteful number, since it uses less digits than its factorization.

38458140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 38458140 is about 6201.4627306789. The cubic root of 38458140 is about 337.5432482301.

The spelling of 38458140 in words is "thirty-eight million, four hundred fifty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 103 105 127 140 147 196 206 210 245 254 294 309 381 412 420 490 508 515 588 618 635 721 735 762 889 980 1030 1236 1270 1442 1470 1524 1545 1778 1905 2060 2163 2540 2667 2884 2940 3090 3556 3605 3810 4326 4445 5047 5334 6180 6223 7210 7620 8652 8890 10094 10668 10815 12446 13081 13335 14420 15141 17780 18669 20188 21630 24892 25235 26162 26670 30282 31115 37338 39243 43260 50470 52324 53340 60564 62230 65405 74676 75705 78486 91567 93345 100940 124460 130810 151410 156972 183134 186690 196215 261620 274701 302820 366268 373380 392430 457835 549402 640969 784860 915670 1098804 1281938 1373505 1831340 1922907 2563876 2747010 3204845 3845814 5494020 6409690 7691628 9614535 12819380 19229070 38458140