Search a number
-
+
38623086 = 23219313643
BaseRepresentation
bin1001001101010…
…1011101101110
32200200020220200
42103111131232
534341414321
63455454330
7646201515
oct223253556
980606820
1038623086
111a890107
1210b273a6
138003bc8
1451b567c
1535cdd26
hex24d576e

38623086 has 48 divisors (see below), whose sum is σ = 90954240. Its totient is φ = 11800080.

The previous prime is 38623069. The next prime is 38623087. The reversal of 38623086 is 68032683.

It is a self number, because there is not a number n which added to its sum of digits gives 38623086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38623087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8781 + ... + 12423.

It is an arithmetic number, because the mean of its divisors is an integer number (1894880).

Almost surely, 238623086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38623086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45477120).

38623086 is an abundant number, since it is smaller than the sum of its proper divisors (52331154).

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

38623086 is a wasteful number, since it uses less digits than its factorization.

38623086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 38623086 is about 6214.7474606777. The cubic root of 38623086 is about 338.0251314717.

The spelling of 38623086 in words is "thirty-eight million, six hundred twenty-three thousand, eighty-six".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 589 1178 1767 3534 3643 5301 7286 10602 10929 21858 32787 65574 69217 112933 138434 207651 225866 338799 415302 622953 677598 1016397 1245906 2032794 2145727 4291454 6437181 12874362 19311543 38623086