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38657568 = 2531392897
BaseRepresentation
bin1001001101110…
…1111000100000
32200202000012210
42103131320200
534344020233
63500322120
7646404165
oct223357040
980660183
1038657568
111a904004
1210b43340
138016801
1451c406c
1535d9163
hex24dde20

38657568 has 48 divisors (see below), whose sum is σ = 102241440. Its totient is φ = 12788736.

The previous prime is 38657561. The next prime is 38657579. The reversal of 38657568 is 86575683.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (38657561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11896 + ... + 14792.

It is an arithmetic number, because the mean of its divisors is an integer number (2130030).

Almost surely, 238657568 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 38657568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51120720).

38657568 is an abundant number, since it is smaller than the sum of its proper divisors (63583872).

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

38657568 is a wasteful number, since it uses less digits than its factorization.

38657568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3041 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 38657568 is about 6217.5210494215. The cubic root of 38657568 is about 338.1256958130.

The spelling of 38657568 in words is "thirty-eight million, six hundred fifty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2224 2897 3336 4448 5794 6672 8691 11588 13344 17382 23176 34764 46352 69528 92704 139056 278112 402683 805366 1208049 1610732 2416098 3221464 4832196 6442928 9664392 12885856 19328784 38657568