Search a number
-
+
38082096 = 2433136781
BaseRepresentation
bin1001000101000…
…1011000110000
32122122202211000
42101101120300
534222111341
63440122000
7641456343
oct221213060
978582730
1038082096
111a550708
1210906300
137b748b0
1450b445a
1535238b6
hex2451630

38082096 has 80 divisors (see below), whose sum is σ = 117735520. Its totient is φ = 11715840.

The previous prime is 38082067. The next prime is 38082101. The reversal of 38082096 is 69028083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 38082096.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2226 + ... + 9006.

It is an arithmetic number, because the mean of its divisors is an integer number (1471694).

Almost surely, 238082096 is an apocalyptic number.

38082096 is a gapful number since it is divisible by the number (36) 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 38082096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58867760).

38082096 is an abundant number, since it is smaller than the sum of its proper divisors (79653424).

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

38082096 is a wasteful number, since it uses less digits than its factorization.

38082096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6811 (or 6799 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 38082096 is about 6171.0692752553. The cubic root of 38082096 is about 336.4394759510.

The spelling of 38082096 in words is "thirty-eight million, eighty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 6781 13562 20343 27124 40686 54248 61029 81372 88153 108496 122058 162744 176306 183087 244116 264459 325488 352612 366174 488232 528918 705224 732348 793377 976464 1057836 1410448 1464696 1586754 2115672 2380131 2929392 3173508 4231344 4760262 6347016 9520524 12694032 19041048 38082096