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38379328 = 2613163283
BaseRepresentation
bin1001001001100…
…1111101000000
32200012212112121
42102121331000
534311114303
63450334024
7644135041
oct222317500
980185477
1038379328
111a733a59
1210a2a314
137c49c80
1451508c8
1535819bd
hex2499f40

38379328 has 56 divisors (see below), whose sum is σ = 82812128. Its totient is φ = 17542656.

The previous prime is 38379301. The next prime is 38379329. The reversal of 38379328 is 82397383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38379329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135475 + ... + 135757.

It is an arithmetic number, because the mean of its divisors is an integer number (1478788).

Almost surely, 238379328 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 38379328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41406064).

38379328 is an abundant number, since it is smaller than the sum of its proper divisors (44432800).

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

38379328 is a wasteful number, since it uses less digits than its factorization.

38379328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 461 counting only the distinct ones).

The product of its digits is 217728, while the sum is 43.

The square root of 38379328 is about 6195.1051645634. The cubic root of 38379328 is about 337.3125155315.

The spelling of 38379328 in words is "thirty-eight million, three hundred seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 163 208 283 326 416 566 652 832 1132 1304 2119 2264 2608 3679 4238 4528 5216 7358 8476 9056 10432 14716 16952 18112 29432 33904 46129 58864 67808 92258 117728 135616 184516 235456 369032 599677 738064 1199354 1476128 2398708 2952256 4797416 9594832 19189664 38379328