Search a number
-
+
38149056 = 263511223
BaseRepresentation
bin1001000110000…
…1101111000000
32122210011200000
42101201233000
534231232211
63441400000
7642155511
oct221415700
978704600
1038149056
111a596a50
1210939000
137b9920a
1450d0a08
153538656
hex2461bc0

38149056 has 168 divisors, whose sum is σ = 124260864. Its totient is φ = 11508480.

The previous prime is 38149051. The next prime is 38149073. The reversal of 38149056 is 65094183.

It is a super-2 number, since 2×381490562 = 2910700947382272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 38149056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38149051) 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, 170961 + ... + 171183.

It is an arithmetic number, because the mean of its divisors is an integer number (739648).

Almost surely, 238149056 is an apocalyptic number.

38149056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62130432).

38149056 is an abundant number, since it is smaller than the sum of its proper divisors (86111808).

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

38149056 is a wasteful number, since it uses less digits than its factorization.

38149056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 38149056 is about 6176.4922083655. The cubic root of 38149056 is about 336.6365484064.

The spelling of 38149056 in words is "thirty-eight million, one hundred forty-nine thousand, fifty-six".