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38428908 = 22371721583
BaseRepresentation
bin1001001010011…
…0000011101100
32200022101112220
42102212003230
534314211113
63451355340
7644432430
oct222460354
980271486
1038428908
111a768231
1210a52b50
137c666cb
1451649c0
153591523
hex24a60ec

38428908 has 72 divisors (see below), whose sum is σ = 108928512. Its totient is φ = 10327296.

The previous prime is 38428877. The next prime is 38428909. The reversal of 38428908 is 80982483.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 38428908.

It is not an unprimeable number, because it can be changed into a prime (38428909) 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 23 ways as a sum of consecutive naturals, for example, 23485 + ... + 25067.

It is an arithmetic number, because the mean of its divisors is an integer number (1512896).

Almost surely, 238428908 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 38428908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54464256).

38428908 is an abundant number, since it is smaller than the sum of its proper divisors (70499604).

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

38428908 is a wasteful number, since it uses less digits than its factorization.

38428908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 38428908 is about 6199.1054193327. The cubic root of 38428908 is about 337.4577044391.

It can be divided in two parts, 384 and 28908, that added together give a palindrome (29292).

The spelling of 38428908 in words is "thirty-eight million, four hundred twenty-eight thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 289 357 476 578 714 867 1156 1428 1583 1734 2023 3166 3468 4046 4749 6069 6332 8092 9498 11081 12138 18996 22162 24276 26911 33243 44324 53822 66486 80733 107644 132972 161466 188377 322932 376754 457487 565131 753508 914974 1130262 1372461 1829948 2260524 2744922 3202409 5489844 6404818 9607227 12809636 19214454 38428908