Search a number
-
+
38640546 = 23271312341
BaseRepresentation
bin1001001101100…
…1101110100010
32200201010212100
42103121232202
534342444141
63500111230
7646303440
oct223315642
980633770
1038640546
111a8a223a
1210b35516
13800bb39
1451bbb90
1535d40b6
hex24d9ba2

38640546 has 48 divisors (see below), whose sum is σ = 96452928. Its totient is φ = 10951200.

The previous prime is 38640527. The next prime is 38640583. The reversal of 38640546 is 64504683.

38640546 is a `hidden beast` number, since 3 + 8 + 640 + 5 + 4 + 6 = 666.

38640546 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 38640546.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15336 + ... + 17676.

It is an arithmetic number, because the mean of its divisors is an integer number (2009436).

Almost surely, 238640546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38640546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48226464).

38640546 is an abundant number, since it is smaller than the sum of its proper divisors (57812382).

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

38640546 is a wasteful number, since it uses less digits than its factorization.

38640546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 38640546 is about 6216.1520251680. The cubic root of 38640546 is about 338.0760598178.

The spelling of 38640546 in words is "thirty-eight million, six hundred forty thousand, five hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 786 917 1179 1834 2341 2358 2751 4682 5502 7023 8253 14046 16387 16506 21069 32774 42138 49161 98322 147483 294966 306671 613342 920013 1840026 2146697 2760039 4293394 5520078 6440091 12880182 19320273 38640546