Search a number
-
+
38256840 = 2333535423
BaseRepresentation
bin1001000111110…
…0000011001000
32122222122112000
42101330003020
534243204330
63443551000
7643114656
oct221740310
978878460
1038256840
111a65aa26
121098b460
137c062ab
14511bdd6
15355a560
hex247c0c8

38256840 has 64 divisors (see below), whose sum is σ = 127526400. Its totient is φ = 10201536.

The previous prime is 38256811. The next prime is 38256901. The reversal of 38256840 is 4865283.

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

It is a junction number, because it is equal to n+sod(n) for n = 38256795 and 38256804.

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, 16632 + ... + 18791.

It is an arithmetic number, because the mean of its divisors is an integer number (1992600).

Almost surely, 238256840 is an apocalyptic number.

38256840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38256840 is an abundant number, since it is smaller than the sum of its proper divisors (89269560).

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

38256840 is a wasteful number, since it uses less digits than its factorization.

38256840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35443 (or 35433 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 38256840 is about 6185.2113949323. The cubic root of 38256840 is about 336.9532877049.

The spelling of 38256840 in words is "thirty-eight million, two hundred fifty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 35423 70846 106269 141692 177115 212538 283384 318807 354230 425076 531345 637614 708460 850152 956421 1062690 1275228 1416920 1594035 1912842 2125380 2550456 3188070 3825684 4250760 4782105 6376140 7651368 9564210 12752280 19128420 38256840