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38545416 = 23337133753
BaseRepresentation
bin1001001100001…
…0100000001000
32200112022101000
42103002200020
534331423131
63454055000
7645426210
oct223024010
980468330
1038545416
111a837818
1210aaa460
137ca7750
145195240
1535b5ce6
hex24c2808

38545416 has 256 divisors, whose sum is σ = 137894400. Its totient is φ = 9704448.

The previous prime is 38545399. The next prime is 38545417. The reversal of 38545416 is 61454583.

It is a happy number.

It is a super-2 number, since 2×385454162 = 2971498189226112, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (38545417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 727246 + ... + 727298.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 238545416 is an apocalyptic number.

38545416 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 38545416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

38545416 is an abundant number, since it is smaller than the sum of its proper divisors (99348984).

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

38545416 is a wasteful number, since it uses less digits than its factorization.

38545416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 115 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 38545416 is about 6208.4954699186. The cubic root of 38545416 is about 337.7983928951.

Adding to 38545416 its reverse (61454583), we get a palindrome (99999999).

The spelling of 38545416 in words is "thirty-eight million, five hundred forty-five thousand, four hundred sixteen".