Search a number
-
+
38971650 = 23521722931
BaseRepresentation
bin1001010010101…
…0100100000010
32201022222001110
42110222210002
534434043100
63511144150
7652152654
oct224524402
981288043
1038971650
111aaa8a83
1211075056
1380c6763
1452666d4
15364c250
hex252a902

38971650 has 144 divisors (see below), whose sum is σ = 109635840. Its totient is φ = 9139200.

The previous prime is 38971577. The next prime is 38971651. The reversal of 38971650 is 5617983.

It is a junction number, because it is equal to n+sod(n) for n = 38971599 and 38971608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38971651) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1257135 + ... + 1257165.

It is an arithmetic number, because the mean of its divisors is an integer number (761360).

Almost surely, 238971650 is an apocalyptic number.

38971650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38971650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54817920).

38971650 is an abundant number, since it is smaller than the sum of its proper divisors (70664190).

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

38971650 is a wasteful number, since it uses less digits than its factorization.

38971650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 38971650 is about 6242.7277691727. The cubic root of 38971650 is about 339.0389527207.

It can be divided in two parts, 38971 and 650, that added together give a triangular number (39621 = T281).

The spelling of 38971650 in words is "thirty-eight million, nine hundred seventy-one thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 29 30 31 34 50 51 58 62 75 85 87 93 102 145 150 155 170 174 186 255 289 290 310 425 435 465 493 510 527 578 725 775 850 867 870 899 930 986 1054 1275 1445 1450 1479 1550 1581 1734 1798 2175 2325 2465 2550 2635 2697 2890 2958 3162 4335 4350 4495 4650 4930 5270 5394 7225 7395 7905 8381 8670 8959 8990 12325 13175 13485 14450 14790 15283 15810 16762 17918 21675 22475 24650 25143 26350 26877 26970 30566 36975 39525 41905 43350 44795 44950 45849 50286 53754 67425 73950 76415 79050 83810 89590 91698 125715 134385 134850 152830 209525 223975 229245 251430 259811 268770 382075 419050 447950 458490 519622 628575 671925 764150 779433 1146225 1257150 1299055 1343850 1558866 2292450 2598110 3897165 6495275 7794330 12990550 19485825 38971650