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38442060 = 22335257277
BaseRepresentation
bin1001001010100…
…1010001001100
32200100001121000
42102221101030
534320121220
63451540300
7644515656
oct222512114
980301530
1038442060
111a7770a8
1210a5a690
137c6c6a7
1451696d6
153595390
hex24a944c

38442060 has 96 divisors (see below), whose sum is σ = 120496320. Its totient is φ = 10174464.

The previous prime is 38442059. The next prime is 38442067. The reversal of 38442060 is 6024483.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (38442067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138642 + ... + 138918.

It is an arithmetic number, because the mean of its divisors is an integer number (1255170).

Almost surely, 238442060 is an apocalyptic number.

38442060 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 38442060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60248160).

38442060 is an abundant number, since it is smaller than the sum of its proper divisors (82054260).

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

38442060 is a wasteful number, since it uses less digits than its factorization.

38442060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 38442060 is about 6200.1661268066. The cubic root of 38442060 is about 337.4961974880.

The spelling of 38442060 in words is "thirty-eight million, four hundred forty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 257 270 277 514 540 554 771 831 1028 1108 1285 1385 1542 1662 2313 2493 2570 2770 3084 3324 3855 4155 4626 4986 5140 5540 6939 7479 7710 8310 9252 9972 11565 12465 13878 14958 15420 16620 23130 24930 27756 29916 34695 37395 46260 49860 69390 71189 74790 138780 142378 149580 213567 284756 355945 427134 640701 711890 854268 1067835 1281402 1423780 1922103 2135670 2562804 3203505 3844206 4271340 6407010 7688412 9610515 12814020 19221030 38442060