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38933940 = 22352389317
BaseRepresentation
bin1001010010000…
…1010110110100
32201021001022210
42110201112310
534431341230
63510253420
7651635013
oct224412664
981231283
1038933940
111aa82711
1211057270
1380b2546
145256a7a
153640eb0
hex25215b4

38933940 has 96 divisors (see below), whose sum is σ = 115395840. Its totient is φ = 9788416.

The previous prime is 38933933. The next prime is 38933977. The reversal of 38933940 is 4933983.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122662 + ... + 122978.

It is an arithmetic number, because the mean of its divisors is an integer number (1202040).

Almost surely, 238933940 is an apocalyptic number.

38933940 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 38933940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57697920).

38933940 is an abundant number, since it is smaller than the sum of its proper divisors (76461900).

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

38933940 is a wasteful number, since it uses less digits than its factorization.

38933940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 38933940 is about 6239.7067238773. The cubic root of 38933940 is about 338.9295630756.

The spelling of 38933940 in words is "thirty-eight million, nine hundred thirty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 89 92 115 138 178 230 267 276 317 345 356 445 460 534 634 690 890 951 1068 1268 1335 1380 1585 1780 1902 2047 2670 3170 3804 4094 4755 5340 6141 6340 7291 8188 9510 10235 12282 14582 19020 20470 21873 24564 28213 29164 30705 36455 40940 43746 56426 61410 72910 84639 87492 109365 112852 122820 141065 145820 169278 218730 282130 338556 423195 437460 564260 648899 846390 1297798 1692780 1946697 2595596 3244495 3893394 6488990 7786788 9733485 12977980 19466970 38933940