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38438848 = 267239359
BaseRepresentation
bin1001001010100…
…0011111000000
32200022220012001
42102220133000
534320020343
63451513344
7644503420
oct222503700
980286161
1038438848
111a774748
1210a58854
137c6b0a6
145168480
15359444d
hex24a87c0

38438848 has 56 divisors (see below), whose sum is σ = 87782400. Its totient is φ = 16359168.

The previous prime is 38438821. The next prime is 38438849. The reversal of 38438848 is 84883483.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 38438798 and 38438807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38438849) 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, 106893 + ... + 107251.

Almost surely, 238438848 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 38438848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43891200).

38438848 is an abundant number, since it is smaller than the sum of its proper divisors (49343552).

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

38438848 is a wasteful number, since it uses less digits than its factorization.

38438848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 607 counting only the distinct ones).

The product of its digits is 589824, while the sum is 46.

The square root of 38438848 is about 6199.9070960781. The cubic root of 38438848 is about 337.4867974717.

The spelling of 38438848 in words is "thirty-eight million, four hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 239 359 448 478 718 956 1436 1673 1912 2513 2872 3346 3824 5026 5744 6692 7648 10052 11488 13384 15296 20104 22976 26768 40208 53536 80416 85801 107072 160832 171602 343204 600607 686408 1201214 1372816 2402428 2745632 4804856 5491264 9609712 19219424 38438848