Search a number
-
+
38106852 = 22371313463
BaseRepresentation
bin1001000101011…
…1011011100100
32122201000202220
42101113123210
534223404402
63440432340
7641621460
oct221273344
978630686
1038106852
111a568273
12109186b0
137b82c44
1450bd4a0
15352adbc
hex24576e4

38106852 has 48 divisors (see below), whose sum is σ = 102423552. Its totient is φ = 10801440.

The previous prime is 38106851. The next prime is 38106869. The reversal of 38106852 is 25860183.

It is a happy number.

38106852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (38106851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9273 + ... + 12735.

It is an arithmetic number, because the mean of its divisors is an integer number (2133824).

Almost surely, 238106852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38106852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51211776).

38106852 is an abundant number, since it is smaller than the sum of its proper divisors (64316700).

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

38106852 is a wasteful number, since it uses less digits than its factorization.

38106852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 38106852 is about 6173.0747606035. The cubic root of 38106852 is about 336.5123631465.

The spelling of 38106852 in words is "thirty-eight million, one hundred six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 786 917 1572 1834 2751 3463 3668 5502 6926 10389 11004 13852 20778 24241 41556 48482 72723 96964 145446 290892 453653 907306 1360959 1814612 2721918 3175571 5443836 6351142 9526713 12702284 19053426 38106852