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38678976 = 2632753181
BaseRepresentation
bin1001001110001…
…1000111000000
32200210002120200
42103203013000
534400211401
63501005200
7646523460
oct223430700
980702520
1038678976
111a9190a6
1210b53800
13802348b
1451cbba0
1535e0686
hex24e31c0

38678976 has 168 divisors, whose sum is σ = 129808224. Its totient is φ = 10782720.

The previous prime is 38678971. The next prime is 38678989. The reversal of 38678976 is 67987683.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38678971) 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, 213606 + ... + 213786.

It is an arithmetic number, because the mean of its divisors is an integer number (772668).

Almost surely, 238678976 is an apocalyptic number.

38678976 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 38678976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64904112).

38678976 is an abundant number, since it is smaller than the sum of its proper divisors (91129248).

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

38678976 is a wasteful number, since it uses less digits than its factorization.

38678976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 38678976 is about 6219.2423975915. The cubic root of 38678976 is about 338.1881006621.

The spelling of 38678976 in words is "thirty-eight million, six hundred seventy-eight thousand, nine hundred seventy-six".