Search a number
-
+
38406852 = 22331122939
BaseRepresentation
bin1001001010000…
…0101011000100
32200021021022000
42102200223010
534313004402
63451105300
7644311221
oct222405304
980237260
1038406852
111a752700
1210a42230
137c59663
14515a948
153589c1c
hex24a0ac4

38406852 has 72 divisors (see below), whose sum is σ = 109485600. Its totient is φ = 11634480.

The previous prime is 38406763. The next prime is 38406883. The reversal of 38406852 is 25860483.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11599 + ... + 14537.

Almost surely, 238406852 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 38406852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54742800).

38406852 is an abundant number, since it is smaller than the sum of its proper divisors (71078748).

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

38406852 is a wasteful number, since it uses less digits than its factorization.

38406852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2955 counting only the distinct ones).

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

The square root of 38406852 is about 6197.3261976436. The cubic root of 38406852 is about 337.3931315961.

The spelling of 38406852 in words is "thirty-eight million, four hundred six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 2939 3267 4356 5878 6534 8817 11756 13068 17634 26451 32329 35268 52902 64658 79353 96987 105804 129316 158706 193974 290961 317412 355619 387948 581922 711238 872883 1066857 1163844 1422476 1745766 2133714 3200571 3491532 4267428 6401142 9601713 12802284 19203426 38406852