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38783940 = 223513192617
BaseRepresentation
bin1001001111110…
…0101111000100
32200222102120020
42103330233010
534412041230
63503135140
7650441466
oct223745704
980872506
1038783940
111a98aa48
1210ba44b0
13805c1a0
145218136
153611810
hex24fcbc4

38783940 has 96 divisors (see below), whose sum is σ = 123150720. Its totient is φ = 9040896.

The previous prime is 38783939. The next prime is 38783947. The reversal of 38783940 is 4938783.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38783892 and 38783901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38783947) 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, 13512 + ... + 16128.

It is an arithmetic number, because the mean of its divisors is an integer number (1282820).

Almost surely, 238783940 is an apocalyptic number.

38783940 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 38783940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61575360).

38783940 is an abundant number, since it is smaller than the sum of its proper divisors (84366780).

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

38783940 is a wasteful number, since it uses less digits than its factorization.

38783940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 38783940 is about 6227.6753287242. The cubic root of 38783940 is about 338.4937405523.

The spelling of 38783940 in words is "thirty-eight million, seven hundred eighty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2617 2964 3705 4940 5234 7410 7851 10468 13085 14820 15702 26170 31404 34021 39255 49723 52340 68042 78510 99446 102063 136084 149169 157020 170105 198892 204126 248615 298338 340210 408252 497230 510315 596676 646399 680420 745845 994460 1020630 1292798 1491690 1939197 2041260 2585596 2983380 3231995 3878394 6463990 7756788 9695985 12927980 19391970 38783940