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38828439 = 32132347307
BaseRepresentation
bin1001010000011…
…1100110010111
32201001200121100
42110013212113
534420002224
63504121143
7651015306
oct224074627
981050540
1038828439
111aa10421
12110061b3
138076510
14522a43d
15361eac9
hex2507997

38828439 has 48 divisors (see below), whose sum is σ = 64576512. Its totient is φ = 22296384.

The previous prime is 38828407. The next prime is 38828453. The reversal of 38828439 is 93482883.

38828439 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38828439 - 25 = 38828407 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38828394 and 38828403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38828239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126324 + ... + 126630.

It is an arithmetic number, because the mean of its divisors is an integer number (1345344).

Almost surely, 238828439 is an apocalyptic number.

38828439 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

38828439 is a deficient number, since it is larger than the sum of its proper divisors (25748073).

38828439 is a wasteful number, since it uses less digits than its factorization.

38828439 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 393 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 38828439 is about 6231.2469859571. The cubic root of 38828439 is about 338.6231487206.

It can be divided in two parts, 3882 and 8439, that added together give a palindrome (12321).

The spelling of 38828439 in words is "thirty-eight million, eight hundred twenty-eight thousand, four hundred thirty-nine".

Divisors: 1 3 9 13 23 39 47 69 117 141 207 299 307 423 611 897 921 1081 1833 2691 2763 3243 3991 5499 7061 9729 11973 14053 14429 21183 35919 42159 43287 63549 91793 126477 129861 187577 275379 331867 562731 826137 995601 1688193 2986803 4314271 12942813 38828439